Deck 1: Functions and Their Graphs

Question 1

Find the domain of the function.

Answer 1

A

Question 2

Compare the graph of the following function with the graph of

Answer 2

B

Question 3

Evaluate the function at the specified value of the independent variable and simplify.

Answer 3

A

Question 4

Evaluate the following function at the specified value of the independent variable and simplify.

A) 20
B) 0
C) -7
D) 13
E) undefined

Question 5

Question 6

Determine the domain and range of the inverse function of the following function f .

Question 7

Find the slope-intercept form of the line passing through the points.

Question 8

Find the difference quotient and simplify your answer.

Question 9

Determine the domain of

Question 10

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched
From its original length. That is, Fk= d, where k is the measure of the stiffness of the
Spring and is called the spring constant. The table below shows the elongation d in
Centimeters of a spring when a force of F kilograms is applied. Find the equation of the line that seems to best fit the data.

A) F =12.098d
B) Fd= 3.024
C) F = 6.049d
D) Fd= 4.537
E) F = 7.561d

Question 11

Which equation does not represent y as a function of x?

Question 12

Given the following function, hx( ), find two functions f and g such that

Question 13

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the
Variables.

A) positive correlation
B) negative correlation
C) no discernible correlation

Question 14

Determine algebraically whether the following function is one-to-one.

Question 15

Question 16

Determine an equation that may represented by the graph shown below.

Question 17

If f is an even function, determine if g is even, odd, or neither. (

A) even
B) odd
C) cannot be determined
D) neither

Question 18

Evaluate the following function for algebraically.

Question 19

Use the graph of

Question 20

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line.

Question 21

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Question 45

The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. Use the regression feature of a graphing utility to find a linear model for the data. Let t
Represent the year, with t = 9 corresponding to 1999. Use the model to predict the
Average lengths of cellular phone calls for the year 2015. Round your answer to two
Decimal places.

A) 4.37 minutes
B) 8.74 minutes
C) 5.37 minutes
D) 3.37 minutes
E) 2.19 minutes

Question 46

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Question 55

Decide whether the two functions shown in the graph below appear to be inverse functions of each other.

A) yes
B) no
C) not enough information

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