Question 1

Determine $f'\left(x\right)$ of the following function: $f\left(x\right)=2x^2+3x-11$

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 2

To determine the average rate of change, you need which formula?

Accepted Answer

Slope Formula

Answer

Quadratic Formula

Answer

Pythagorean Theorem

Answer

Linear Formula

Question 3

Which formula is a representation of the slope formula?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 4

Which formula is a representation of the Pythagorean Theorem?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 5

Which formula is a representation of a linear equation?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 6

Which formula is a representation of a quadratic equation?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 7

When asked to determine the difference quotient, you are asked to find the...

Accepted Answer

slope

Answer

midpoint

Answer

y-intercept

Answer

x-intercept

Question 8

Gradient is another way of determining the...?

Accepted Answer

slope

Answer

x-intercept

Answer

midpoint

Answer

y-intercept

Question 9

Find the average rate of change $f'\left(x\right)$ over the interval $f\left(x\right)=2x^2+3x-11$ .

Accepted Answer

0.462

Answer

-0.432

Answer

-0.347

Answer

0.347

Question 10

AROC stands for...

Accepted Answer

average rate of change

Answer

all rappers own cars

Answer

average raptors of change

Answer

average rate of charge

Question 11

IROC stands for...

Accepted Answer

instantaneous rate of change

Answer

instant random of change

Answer

incredible rate of change

Answer

instantaneous rate of charge

Question 12

The geometric representation of AROC is a...

Accepted Answer

secant line

Answer

a "V" on the graph

Answer

tangent line

Answer

parabola

Question 13

The geometric representation of IROC is a...

Accepted Answer

tangent line

Answer

a "V" on the graph

Answer

parabola

Answer

secant line

Question 14

Which formula represents the IROC?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 15

Which formula, when used, produces the derivative of a function?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 16

Which formula would be most appropriate to use if you know the x-value being approached?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 17

Determine the first derivative of $f'\left(x\right)$

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 18

State the function, $f'\left(x\right)$ , based on the following derivative definition: $f\left(x\right)=2x^2+3x-11$

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

x-2

Answer

2

Answer

$f'\left(x\right)=4x+3$

Question 19

State the instantaneous rate at x based on the following derivative definition: $f'\left(x\right)$

Accepted Answer

2

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

x-2

Question 20

Who is this? (click on image for larger view)

Accepted Answer

Leibniz

Answer

Lagrange

Answer

Euler

Answer

Newton

Question 21

Who is this? (click on image for larger view)

Accepted Answer

Lagrange

Answer

Leibniz

Answer

Newton

Answer

Euler

Question 22

Who is this? (click on image for larger view)

Accepted Answer

Newton

Answer

Leibniz

Answer

Lagrange

Answer

Euler

Question 23

Who is this? (click on image for larger view)

Accepted Answer

Euler

Answer

Newton

Answer

Lagrange

Answer

Leibniz

Question 24

Which one is Leibniz notation?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 25

Which one is Lagrange notation?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 26

Which one is Newton notation?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 27

Which one is Euler notation?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 28

When determining the rate of change of a position function, it's the same as finding the__?

Accepted Answer

velocity

Answer

acceleration

Answer

jerk

Answer

snap

Question 29

When determining the rate of change of a velocity function, it's the same as finding the__?

Accepted Answer

acceleration

Answer

snap

Answer

jerk

Answer

velocity

Question 30

Which formula is used to determine the equation of a tangent line?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 31

What two things are needed to create the equation of a tangent line?

Accepted Answer

A point and a slope

Answer

Hopes and prayers

Answer

A point and another point

Answer

Two slopes

Question 32

Which discontinuity does not affect the limit?

Accepted Answer

removable discontinuity

Answer

jump discontinuity

Answer

oscillating discontinuity

Answer

infinite discontinuity

Question 33

Which discontinuity is the result of the LHL and RHL not being the same?

Accepted Answer

jump discontinuity

Answer

oscillating discontinuity

Answer

removable discontinuity

Answer

infinite discontinuity

Question 34

Which discontinuity is the result of an asymptote?

Accepted Answer

infinite discontinuity

Answer

oscillating discontinuity

Answer

jump discontinuity

Answer

removable discontinuity

Question 35

Which discontinuity bounces up and down on the graph?

Accepted Answer

oscillating discontinuity

Answer

removable discontinuity

Answer

jump discontinuity

Answer

infinite discontinuity

Question 36

Where are the discontinuities of this graph located?

Accepted Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Answer

$f'\left(x\right)=4x+3$

Question 37

True or False? $f'\left(x\right)$ in all cases.

Accepted Answer

false

Answer

true

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