Question 1

Find all real values of x such that f (x) = 0. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

B

Question 2

Find the domain of the function. 
A) 
B) 
C) all real numbers 
D) all real numbers
E) all real numbers

Accepted Answer

E

Question 3

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-7, -8) line: -9x - 45y = 9
A) 
B) 
C) 
D) 
E)

Accepted Answer

To find the slope of the perpendicular line, we need to take the negative reciprocal of the slope of the given line. The given line can be rewritten in slope-intercept form as follows:
-45y = 9x + 9
y = (-1/5)x - 1/5
The slope of the given line is -1/5. The slope of the perpendicular line is therefore 5.
Using the point-slope form, we can write the equation of the perpendicular line as follows:
y - (-8) = 5(x - (-7))
y + 8 = 5x + 35
y = 5x + 27
Rewriting in slope-intercept form, we get:
y = 5x + 27, which matches option C.

Question 4

Find all real values of x such that f (x) = 0. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find all real values of x such...

Question 5

Does the table describe a function? 
A) no
B) yes

Accepted Answer

To determine if the table describes a function, we would need to check that each input (x-value) has only one output (y-value). Looking at the table, we can see that for each input there is only one output, meaning that this table does describe a function. Therefore, the best choice is B) yes.

Question 6

Which equation does not represent y as a function of x?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which equation does not represent y as...

Question 7

Does the table describe a function? 
A) no
B) yes

Accepted Answer

A function is a rule that assigns a unique output to each input. In the given table, each input (x) has only one corresponding output value (y), which means that the table describes a function. Therefore, the best choice is B (yes).

Question 8

Does the table describe a function? 
A) yes
B) no

Accepted Answer

The answer of Does the table describe a function? 
A)...

Question 9

Does the table describe a function? 
A) yes
B) no

Accepted Answer

The answer of Does the table describe a function? 
A)...

Question 10

Find the zeroes of the functions algebraically. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the zeroes of the functions algebraically....

Question 11

Evaluate the function at the specified value of the independent variable and simplify.  
A) 3.8
B) 
C) 
D) 
E) -6.2

Accepted Answer

The answer of Evaluate the function at the specified value...

Question 12

Find the difference quotient and simplify your answer.  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the difference quotient and simplify your...

Question 13

Find the value(s) of x for which f (x) = g (x).  
A) 
B) 
C) 
D) 
E)

Accepted Answer

To find the value(s) of x for which f(x) = g(x), we need to solve the equation f(x) - g(x) = 0. Simplifying both sides, we get:

(2x - 1) - (x + 5) = 0
x - 6 = 0
x = 6

So, the only solution is x = 6, which corresponds to choice A.

Question 14

Evaluate the function at the specified value of the independent variable and simplify.  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the function at the specified value...

Question 15

Which set of ordered pairs represents a function from P to Q?  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which set of ordered pairs represents a...

Question 16

Which equation does not represent y as a function of x?
A) 
B) 
C) 
D) 
E)

Accepted Answer

In option D, y is not a function of x because for a single value of x, there are multiple values of y. Specifically, when x = 1, y can be either 3 or -3. In every other option, for a single value of x, there is only one value of y.

Question 17

Gretel's Computer Repair Store purchases a network server for $1145. The machine has a useful life of 5 years after which time another one will have to be purchased. Assume depreciation of the machine is linear. Write a linear equation giving the value V of the network server during the 5 years it will be in use.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Gretel's Computer Repair Store purchases a network...

Question 18

A rectangle is bounded by the x-axis and the semicircle  (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function.   -2 2
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of A rectangle is bounded by the x-axis...

Question 19

Use the graph of the function to find the domain and range of f. 
A) domain:  range: 
B) domain:  range: 
C) domain:  range: 
D) domain:  range: 
E) domain:  range:

Accepted Answer

The answer of Use the graph of the function to...

Question 20

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.
A) All of the choices (A, B, C, and D) represent functions.
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the Vertical Line Test to determine...

Quiz 3: Functions and Their Graphs

Find all real values of x such that f (x) = 0.

Find the domain of the function.

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-7, -8) line: -9x - 45y = 9

Find all real values of x such that f (x) = 0.

Does the table describe a function?

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

Does the table describe a function?

Does the table describe a function?

Does the table describe a function?

Find the zeroes of the functions algebraically.

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

Find the difference quotient and simplify your answer.

Find the value(s) of x for which f (x) = g (x) .

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

Which set of ordered pairs represents a function from P to Q?

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

A rectangle is bounded by the x-axis and the semicircle (see figure) . Write the area A of the rectangle as a function of x and determine the domain of the function. -2 2

Use the graph of the function to find the domain and range of f.

Use the Vertical Line Test to determine in which of the graphs y is not a function of x.