Question 1

Consider the exponential function: $f(x)=-2(2)^x$. Which key attribute doe the function NOT exhibit?

Accepted Answer

range: $(0, \infin)$

Answer

asymptote: $y=0$

Answer

domain: $(-\infin, \infin)$

Answer

y-intercept: $(0, -2)$

Question 2

Which statement best describes how $f(x)=-2(2)^{x+3}-5$ is transformed from its parent function $f(x)=2^x$.

Accepted Answer

The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the left, and vertically translated 5 units down.

Answer

The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the right, and vertically translated 5 units down.

Answer

The graph is reflected over the y-axis, vertically compressed by a scale factor of 0.5, horizontally translated 3 units to the left, and vertically translated 5 units down.

Answer

The graph is reflected over the y-axis, vertically compressed by a scale factor of 0.5, horizontally translated 3 units to the left, and vertically translated 5 units up.

Question 3

Consider the exponential function: $f(x)=\frac{1}{2}(3)^x$. Which key attributes does the function exhibit?      I. Domain: $(0, \infin)$          II. Range: $(0, \infin)$    III. Y-intercept: $(0, \frac{3}{2})$    IV. Asymptote $y=0$

Accepted Answer

II and IV only

Answer

III only

Answer

I, II, III, and IV

Answer

II and III only

Question 4

A culture of 3000 bacteria doubles in number every 10 hours. The function $P(t)$ represents the population of the bacteria after $t$ hours. Which function best models the growth of the bacteria?

Accepted Answer

$P(t)=3000(2)^{\frac{t}{10}}$

Answer

$P(t)=3000(2)^t$

Answer

$P(t)=3000(4)^{\frac{t}{10}}$

Answer

$P(t)=3000(4)^t$

Question 5

Solve the equation: $2^{3x+1}=2^{10}$

Accepted Answer

$x=3$

Answer

$x=\frac{11}{3}$

Answer

$x=341$

Answer

$x=27$

Question 6

Mr. Yost purchased a new computer for $1750 and its value has been decreasing by 25% per year. Write an equation that can be used to model the value of the computer, V(t), as a function of the number of years, t.

Accepted Answer

$V(t)=1750(0.75)^t$

Answer

$V(t)=1750(0.25)^t$

Answer

$V(t)=1750(25)^t$

Answer

$V(t)=1750(1.25)^t$

Question 7

If $2000 is invested at 7% compounded monthly, what is the balance after 8 years?

Accepted Answer

$3,495.65

Answer

$3,521.62

Answer

$3,601.84

Answer

$3,490.51

Question 8

Thallium-208 has a half-life of 3.053 minutes. If you start with 120 g, how many will be left after 10 minutes?

Accepted Answer

12.39 grams

Answer

97.11 grams

Answer

88.01 grams

Question 9

Brad has $5500 he plans to invest at a bank that compounds continuously at an annual rate of 2.5%. Which function below could be used to find A, the amount Brad will have in his account after t years?

Accepted Answer

$A=5500e^{0.025t}$

Answer

$A=5500e^{0.0025t}$

Answer

$A=5500e^{2.5t}$

Answer

$A=5500e^{25t}$

Question 10

What is the value of $a$ and $b$ for this exponential function? $y=3(1.65)^x$

Accepted Answer

$a=3, b=1.65$

Answer

$a=3, b=0.35$

Answer

$a=3, b=0.65$

Answer

$a=1.65, b=3$

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