AnswersMathematics IQuadratic Functions

Quadratic Functions — Test Answers

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1
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Which equation describes the relationship between the variables in the table?

A
y is equal to 9 to the x th power ; each y -value is the previous y -value multiplied by another 9 .
B
y is equal to x to the 9th power ; each y -value is the previous y -value multiplied by 9 .
C
y is equal to 9 x ; each y -value is the previous y -value plus 9 .
D
y is equal to 9 x squared ; each y -value is the previous y -value plus 9 more than was added previously.
2
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What is true about the domain and range of the function?

A
The domain is all real numbers less than or equal to 4 , and the range is all real numbers.
B
The domain is all real numbers, and the range is all real numbers less than or equal to 4 .
C
The domain is all real numbers such that negative 3 is less than or equal to x comma x is less than or equal to 1 , and the range is all real numbers less than or equal to 4 .
D
The domain is all real numbers less than or equal to 4, and the range is all real numbers such that negative 3 is less than or equal to x comma x is less than or equal to 1 .
3

Which function could be represented by the graph on the coordinate plane?

A
f of x is equal to x plus 8 squared negative 6
B
f of x is equal to x negative 8 squared minus 6
C
f of x is equal to x plus 8 squared plus 6
D
f of x is equal to x negative 8 squared plus 6
4

What is the rate of change for the interval between 0 and 2 for the quadratic equation f of x is equal to 2 x squared plus x minus 3 represented in the table?

A
5
B
1 fifth
C
10
D
4
5

What was the original dose?

A
24 milligrams
B
0 point 5 0 milligrams
C
8 milligrams
D
500 milligrams
6

Which of the following describes the growth rate of the exponential function in the graph?

A
For each x increase of 1 , the y increases by a common factor of 3 .
B
For each x increase of 1 , the y increases by doubling and then adding 1 .
C
For each x increase of 1 , the y increases by a common difference of 3 .
D
For each x increase of 1 , the y increases by 4 more than the previous increase.
7

What is the equation of the translated function, g of x , if f of x is equal to x squared ?

A
g of x is equal to x plus 5 squared plus 2
B
g of x is equal to x plus 2 squared plus 5
C
g of x is equal to x minus 5 squared plus 2
D
g of x is equal to x minus 2 squared plus 5
8

If the number of employees is an indicator of a successful business, in which company should Ajay invest?

A
company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year
B
company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year
C
company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year
D
company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year
9

The function f of x is equal to negative x squared minus 2 x plus 15 is shown on the graph. What are the domain and range of the function?

A
The domain is start set x such that negative 5 is less than x comma x is less than 3 end set . The range is start set y such that y is less than 16 end set .
B
The domain is all real numbers. The range is start set y such that y is less than 16 end set .
C
The domain is start set x such that negative 5 is less than or equal to x comma x is less than or equal to 3 end set . The range is start set y such that y is less than or equal to 16 end set .
D
The domain is all real numbers. The range is start set y such that y is less than or equal to 16 end set .
10

Which statement is true?

A
The second function grows approximately 2 point 5 times slower than the first function over the interval 2 is less than x comma x is less than 3 .
B
The second function grows approximately 6 times faster than the first function over the interval 2 is less than x comma x is less than 3 .
C
The second function grows approximately 21 times faster than the first function over the interval 4 is less than x comma x is less than 5 .
D
The second function grows approximately 21 times slower than the first function over the interval 4 is less than x comma x is less than 5 .
11

What was the purchase price of the land?

A
1,000,000 dollars
B
10,200 dollars
C
100,000 dollars
D
102,000 dollars
12

A machine is programmed to make a horizontal cut along the x -axis, trimming the sides of the satellite dish. What is the resulting width of the satellite dish, in feet?

A
6 ft
B
12 ft
C
4 ft
D
8 ft
13

Which describes all of the values for which the graph is negative and increasing?

A
all real values of x where x is less than 0
B
all real values of x where 1 is less than x comma x is less than 4
C
all real values of x where negative 2 is less than x comma x is less than 4
D
all real values of x where x is less than negative 2
14

Assuming that the throw represents projectile motion, what are the missing values in the table?

A
cap A is equal to 4 , cap b is equal to 3
B
cap A is equal to 5 , cap b is equal to 0
C
cap A is equal to 4 , cap b is equal to 0
D
cap A is equal to 5 , cap b is equal to 3
15

Determine which statements about h of x and about the reservoirs are true. Choose two correct answers.

A
Reservoir A releases the same amount of water as Reservoir B over 1 week.
B
Reservoir A releases more water than Reservoir B over 1 week.
C
Reservoir A releases less water than Reservoir B over 1 week.
D
h of x is equal to negative 2 x squared minus x plus 3
E
h of x is equal to negative 2 x squared minus 13 x plus 6
16

Which function represents the area of the rectangle?

A
12 x squared plus 7 x minus 10
B
12 x squared minus 8 x minus 10
C
12 x squared plus 7 x plus 10
D
12 x squared plus 15 x minus 10
17

What is the range of the function?

A
all real numbers greater than or equal to negative 3
B
all real numbers greater than or equal to 4
C
all real numbers less than or equal to negative 3
D
all real numbers less than or equal to 4
18

The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight: Flight A: f of x is equal to 0 point 0 0 3 x minus 1 point 2 Flight B: g of x is equal to 0 point 0 0 1 5 x plus 0 point 8 Which function represents the total of the flight times, h of x is equal to f of x plus g of x ?

A
h of x is equal to 0 point 0 0 4 5 x minus 0 point 4
B
h of x is equal to 0 point 0 4 5 x minus 0 point 4
C
h of x is equal to 0 point 0 0 4 5 x minus 2
D
h of x is equal to 0 point 0 0 1 5 x minus 2
19

Which point is an x -intercept of the quadratic function f of x is equal to open paren x minus 8 close paren times open paren x plus 9 close paren ?

A
0 comma 8
B
0 comma negative 8
C
9 comma 0
D
negative 9 comma 0
20

Given the function f of x is equal to negative 5 x squared minus x plus 20 , find f of 3

A
negative 13
B
negative 28
C
64
D
62

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