Question 1

Classify the function $f(x) = 11^x$ as exponential, linear or neither.

Accepted Answer

exponential

Answer

neither

Answer

linear

Question 2

Classify the function $f(x) = 9x$ as exponential, linear or neither.

Accepted Answer

linear

Answer

neither

Answer

exponential

Question 3

Classify the function $f(x) = 8x^5$ as exponential, linear or neither.

Accepted Answer

neither

Answer

linear

Answer

exponential

Question 4

Classify the function $f(x) = 6(8)^x$ as exponential, linear or neither.

Accepted Answer

exponential

Answer

neither

Answer

linear

Question 5

Classify $f(x) = x^2+x+5$ as exponential, linear or neither.

Accepted Answer

neither

Answer

linear

Answer

exponential

Question 6

Classify the function $f(x) = 8(3)^x-8$ as exponential, linear or neither.

Accepted Answer

exponential

Answer

neither

Answer

linear

Question 7

Classify the function $f(x) = 0.8x+3$ as exponential, linear or neither.

Accepted Answer

linear

Answer

exponential

Answer

neither

Question 8

State whether the formula models exponential growth or decay and justify your answer.  $f(x)=0.3(5)^x$

Accepted Answer

Exponential growth because the coefficient is positive and the base is greater than one.

Answer

Exponential decay because the coefficient is positive and the base is greater than one.

Answer

Exponential growth because the coefficient is positive and the base is between zero and one.

Answer

Exponential decay because the coefficient is positive and the base is between zero and one.

Question 9

State whether the formula models exponential growth or decay and justify your answer.  $f(x)=3(\frac{2}{5})^x$

Accepted Answer

Exponential decay because the coefficient is positive and the base is between zero and one.

Answer

Exponential decay because the coefficient is positive and the base is greater than one.

Answer

Exponential growth because the coefficient is positive and the base is between zero and one.

Answer

Exponential growth because the coefficient is positive and the base is greater than one.

Question 10

State whether the formula models exponential growth or decay and justify your answer.  $f(x)=0.6(\frac{7}{6})^x$

Accepted Answer

Exponential growth because the coefficient is positive and the base is greater than one.

Answer

Exponential decay because the coefficient is positive and the base is between zero and one.

Answer

Exponential decay because the coefficient is positive and the base is greater than one.

Answer

Exponential growth because the coefficient is positive and the base is between zero and one.

Question 11

State whether the formula models exponential growth or decay and justify your answer.  $f(x)=8(0.8)^x$

Accepted Answer

Exponential decay because the coefficient is positive and the base is between zero and one.

Answer

Exponential growth because the coefficient is positive and the base is greater than one.

Answer

Exponential growth because the coefficient is positive and the base is between zero and one.

Answer

Exponential decay because the coefficient is positive and the base is greater than one.

Question 12

Consider the function $f(x)=8(0.4)^x$.  Identify the initial value.

Accepted Answer

The initial value is 8.

Answer

The initial value is 0.4.

Answer

The initial value is not listed.

Answer

The initial value is 3.2.

Question 13

Consider the function $f(x) = 5(0.4)^x$.  Which of the following statements is true?

Accepted Answer

This function shows a 60% decrease.

Answer

This function shows a 40% decrease.

Answer

This function shows a 60% increase.

Answer

This function shows a 40% increase.

Question 14

Which of the following statements is true regarding the formula given below: $f(x) = 20(0.965)^x$

Accepted Answer

This function shows a 3.5% decrease.

Answer

This function shows a 96.5% increase.

Answer

This function shows a 96,5% decrease.

Answer

This function shows a 3.5% increase.

Question 15

Consider $f(x)=70(1.6)^x$.  Which of the following statements is true?

Accepted Answer

This function shows a 60% increase.

Answer

This function shows a 160% decrease.

Answer

This function shows a 160% increase.

Answer

This function shows a 60% decrease.

Question 16

Consider the function $f(x)=80(2.2)^x$.  Which of the following statements is true?

Accepted Answer

This function shows a 120% increase.

Answer

This function shows a 120% decrease.

Answer

This function shows a 220% increase.

Answer

This function shows a 220% decrease.

Question 17

Identify the type of relationship:  Mr. Kelly's house has 15 mice running around.  Their population $p$ increases at a 600% rate per month, $m$.

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear Growth

Answer

Linear Decay

Question 18

Create a function from the information given.  Make sure to use the variables indicated.     Mr. Kelly's house has 15 mice running around.  Their population $p$ increases at a 600% rate per month, $m$.

Accepted Answer

$p(m)=15(7)^m$

Answer

$m(p)=15(6)^p$

Answer

$m(p)=15(7)^p$

Answer

$p(m)=15(6)^m$

Question 19

Identify the type of relationship:  Mr. Sullivan rode on a bus for 800 mile $m$.  He is now gaining 65 miles each hour $h$.

Accepted Answer

Linear Growth

Answer

Linear Decay

Answer

Exponential Decay

Answer

Exponential Growth

Question 20

Create a function from the information given.  Make sure to use the variables indicated.      Mr. Sullivan rode on a bus for 800 mile $m$.  He is now gaining 65 miles each hour $h$.

Accepted Answer

$m(h)=800+65h$

Answer

$h(m)=800(0.65)^m$

Answer

$m(h)=800(0.65)^h$

Answer

$h(m)=800+65m$

Question 21

Identify the type of relationship:  900 grams $g$ of radioactive material decays at a rate of 3.8% per year $t$.

Accepted Answer

Exponential Decay

Answer

Linear Decay

Answer

Exponential Growth

Answer

Linear Growth

Question 22

Create a function from the information given.  Make sure to use the variables indicated.      900 grams $g$ of radioactive material decays at a rate of 3.8% per year $t$.

Accepted Answer

$g(t)=900(0.962)^t$

Answer

$t(g)=900(0.038)^g$

Answer

$t(g)=900(0.962)^g$

Answer

$g(t)=900(0.038)^t$

Question 23

Identify the type of relationship:  You purchase a car in 2020 for $\char36$20,000.  The value $v$ of the car decreases by $\char36$3,000 per year $t$.

Accepted Answer

Linear Decay

Answer

Exponential Decay

Answer

Linear Growth

Answer

Exponential Growth

Question 24

Create a function from the information given.  Make sure to use the variables indicated.      You purchase a car in 2020 for $\char36$20,000.  The value $v$ of the car decreases by $\char36$3,000 per year $t$.

Accepted Answer

$v(t)=20000 - 3000t$

Answer

$t(v)=20000 - 3000v$

Answer

$t(v)=20000(-3000)^v$

Answer

$v(t)=20000(-3000)^t$

Question 25

Identify the type of relationship in the graph.  Use $x$ and $f(x)$ for your variables.

Accepted Answer

Exponential Decay

Answer

Linear Growth

Answer

Linear Decay

Answer

Exponential Growth

Question 26

Create a function from the information given.  Make sure to use the variables $x$ and $f(x)$.

Accepted Answer

$f(x)=5(\frac{1}{5})^x$

Answer

$f(x)=\frac{1}{5}(5)^x$

Answer

$f(x)=5-4x$

Answer

$f(x)=4-5x$

Question 27

Identify the type of relationship in the graph.  Use $x$ and $f(x)$ for your variables.

Accepted Answer

Linear Growth

Answer

Exponential Decay

Answer

Linear Decay

Answer

Exponential Growth

Question 28

Create a function from the information given.  Make sure to use the variables $x$ and $f(x)$.

Accepted Answer

$f(x)=6+\frac{3}{2}x$

Answer

$f(x)=6(\frac{\sqrt{2}}{3})^x$

Answer

$f(x)=\frac{\sqrt{2}}{3}(6)^x$

Answer

$f(x)=\frac{3}{2}+6x$

Question 29

Identify the type of relationship in the table.

Accepted Answer

Exponential Growth

Answer

Linear Growth

Answer

Exponential Decay

Answer

Linear Decay

Question 30

Create a function from the information given in the table.

Accepted Answer

$T(c)=6.1(3)^c$

Answer

$T(c)=6.1(3)^{c-1}$

Answer

$T(c)=3(6.1)^c$

Answer

$T(c)=3(6.1)^{c-1}$

Question 31

Identify the type of relationship in the table.

Accepted Answer

Exponential Decay

Answer

Linear Growth

Answer

Exponential Growth

Answer

Linear Decay

Question 32

Create a function from the information given in the table.

Accepted Answer

$a(t)=84(\frac{1}{3})^t$

Answer

$a(t)=84(\frac{1}{3})^{t-1}$

Answer

$a(t)=\frac{1}{3}(84)^t$

Answer

$a(t)=\frac{1}{3}(84)^{t-1}$

Question 33

Identify the type of relationship in the table.

Accepted Answer

Linear Decay

Answer

Exponential Decay

Answer

Linear Growth

Answer

Exponential Growth

Question 34

Create a function from the information given in the table.

Accepted Answer

$g(x)=173-15x$

Answer

$g(x)=173-15(x-1)$

Answer

$g(x)=15-173x$

Answer

$g(x)=15-173(x-1)$

Question 35

Identify the type of relationship in the table.

Accepted Answer

Exponential Decay

Answer

Linear Decay

Answer

Exponential Growth

Answer

Linear Growth

Question 36

Create a function from the information given in the table.

Accepted Answer

$h(t)=150(\frac{1}{10})^t$

Answer

$h(t)=\frac{1}{10}(150)^{t-1}$

Answer

$h(t)=\frac{1}{10}(150)^t$

Answer

$h(t)=150(\frac{1}{10})^{t-1}$

Question 37

Given $f(x)=5(1.2)^x$, what is the value of $f(1)$?  (Use a decimal if necessary -- no fractions!)

Accepted Answer

6

Question 38

Given $f(x) = 2(0.7)^x$, find the value of $f(0)$?  (Use a decimal if necessary -- no fractions!)

Accepted Answer

2.0

Question 39

Given $f(x)=5(\frac{2}{3})^x$, find the value of $f(2)$?  (Use IMPROPER simplified fractions!   No decimal answers will be accepted.)

Accepted Answer

$\frac{20}{9}$

Question 40

Brust bought a computer for $\char36$1,900.  The value $v$ of the computer decreases by 25% each year, $t$.  What will it be worth in 5 years?  (Round your answer to the nearest cent and do NOT use a $ sign -- computer only accepts numbers!)

Accepted Answer

450.88

Question 41

Mr. Kelly's youngest child breaks the dishes on a regular basis.  If Mr. Kelly never buys new dishes, then the number of dishes $d$ he owns has a half-life of 10 months $m$.  If he currently has 70 dishes, about how many will he own in 36 months?  (Round your answer to the nearest integer -- do not add units -- computer only accepts numbers.)

Accepted Answer

6

Question 42

A culture of bacteria has 600 cells $c$ that doubles every 5 hours $h$.  How many cells of bacteria will there be in 50 hours?  (Only enter the number - no units - the computer only accepts numbers.)

Accepted Answer

614,400

Question 43

There are 700 fish $f$ in a pond and their population doubles every 6 months $m$.  How many fish will there be in the 43 months?  (Round your answer to the nearest integer and do NOT use units - the computer only accepts numbers.)

Accepted Answer

100573

Related quizzes

Related quizzes