Quiz about Functions Review Algebra

Question 1

Is this a function? Explain.

Accepted Answer

Yes; it passes the vertical line test.

Answer

Yes; it passes the horizontal line test.

Answer

No; it is not a straight line.

Answer

No; there is a line connecting the dots.

Question 2

Question 2.

Accepted Answer

Not a Function

Answer

Function

Question 3

Question 3.

Accepted Answer

Function

Answer

Not a Function

Question 4

If h(a) = 3 - 2a
Find h(-3).

Accepted Answer

9

Answer

12

Answer

-2

Answer

-3

Question 5

Given f(x) = -4x - 10 and f(x) = 10. Find x

Accepted Answer

x = -50

Answer

x = -5

Answer

x = 5

Answer

x = 30

Question 6

.

Accepted Answer

Not a Function

Answer

Function

Question 7

.

Accepted Answer

Function

Answer

Not a Function

Question 8

If f(x)=6x²-4,
what is f(0)?

Accepted Answer

-4

Answer

4

Answer

0

Answer

2

Question 9

If f(x)=6x²-4,
what is f(1)?

Accepted Answer

2

Answer

13

Answer

0

Answer

12

Question 10

Let w(x) = 3x - 7. If w(x) = 14, find x.

Accepted Answer

7

Answer

35

Answer

2.33333

Answer

-49

Question 11

What is x if
f(x) = -2?

Accepted Answer

8

Answer

4

Answer

0

Answer

3

Question 12

What is f(1)?

Accepted Answer

5

Answer

1

Answer

0

Answer

4

Question 13

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

Accepted Answer

After 4 weeks the plant is 5 inches tall

Answer

After 5 week the plant is 4 inches tall

Answer

The plant grows at a rate of 5/4 inch per week

Answer

The plant grows at a rate of 1 inch per week

Question 14

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?

Accepted Answer

The cost to ride 7 miles

Answer

A cost of $7 to ride the taxi

Answer

The minimum distance to ride a taxi

Answer

The minimum cost of a taxi

Question 15

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(m) represent?

Accepted Answer

Total Cost of a taxi

Answer

Total Miles in taxi

Question 16

Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?

Accepted Answer

After 4 hours of work, Derek makes $37.

Answer

Derek needs $4 more to have $37 total.

Answer

After working for 4 days, Derek makes $37 total.

Answer

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

Question 17

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

Accepted Answer

After 8 days, Ms. Brackemyer has 52 pencils.

Answer

Ms. Brackemyer starts with 8 pencils and ends with 52.

Answer

Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

Answer

Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

Question 18

A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.

Accepted Answer

g(8)=28.  This means that 8 packages of gum costs $28.

Answer

g(8)=8.  This means that after 8 packages of gum, the company makes $8.

Answer

g(8)=42.  This means that 8 packages of gum costs $42.

Answer

g(8)=24.  This means that 8 packages of gum costs $24.

Question 19

Does the graph represent a function?

Accepted Answer

No, because the vertical line test shows there are repeating input values

Answer

Yes, because the vertical line test shows there are no repeating input values

Question 20

Question 20.

Accepted Answer

G

Answer

F

Answer

H

Answer

J

Question 21

Is this graph a function or not a function?

Accepted Answer

Function

Answer

Not a Function

Question 22

Is the graph pictured a function?

Accepted Answer

No

Answer

Yes

Question 23

Which graph does NOT pass the vertical line test?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 24

Question 24.

Accepted Answer

Function

Answer

Not a Function

Question 25

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Accepted Answer

D:{0, 1, 2, -4}
R:{1, -3, -4}

Answer

D: {1, -3, -4,}
R: {0, 1, 2, -4}

Answer

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

Question 26

What is the range of the following graph?

Accepted Answer

all real numbers

Answer

all integers

Answer

any real number greater than zero

Answer

it can not be determined

Question 27

What is the x-intercept for the given graph?

Accepted Answer

1

Answer

-2

Answer

2

Answer

1/2

Question 28

When is this function increasing?

Accepted Answer

-2.5 < x < 2.5

Answer

0 < x < 5

Answer

0 < x < 55

Answer

-5 < x < 0

Question 29

Is this a function?

Accepted Answer

Yes; because it does pass the vertical line test.

Answer

No; because it does not pass the vertical line test.

Answer

No; because it's not in one straight line.

Answer

Yes; because it has 5 points.

Question 30

Which statement is true about this function?

Accepted Answer

The function is never decreasing

Answer

The function is never constant

Answer

The function is always increasing

Answer

The function increases on the interval 11:00 < x < 15:00

Question 31

Is the graph an even, odd, or neither function
f(x) = 4x³

Accepted Answer

Odd

Answer

Even

Answer

Neither

Question 32

What interval is the function decreasing over?

Accepted Answer

(1, 4)

Answer

(-2, 1)

Answer

(3, -6)

Answer

(-6, 3)

Question 33

Is the graph an even, odd, or neither function
f(x) = x² + 2

Accepted Answer

Even

Answer

Odd

Answer

Neither

Question 34

Is the graph an even, odd, or neither function
f(x)=x³-x²

Accepted Answer

neither

Answer

even

Answer

odd

Question 35

f(x) = -3x⁵ + 5x⁴ - 7x³ + 2x - 12

Accepted Answer

UP and DOWN

Answer

UP and UP

Answer

DOWN and DOWN

Answer

DOWN and UP

Question 36

Which function has this end behavior?

Accepted Answer

4x⁵-4x⁴+2x³-9

Answer

-1x⁴-3x³+3

Answer

-2x⁷+2x⁴+4

Answer

3x⁸+3x⁵-4x+7

Question 37

What is the degree?

Accepted Answer

Odd

Answer

Positive

Answer

Negative

Answer

Even

Question 38

Find the axis of symmetry for
f(x) = 2x²- 8x + 15.

Accepted Answer

x = 2

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 39

Does the equation open or or down?
Y = -3x² +7x - 2

Accepted Answer

down

Answer

up

Answer

left

Answer

right

Question 40

What is the y-intercept of
f(x)=2x² + 4x + 6

Accepted Answer

6

Answer

2

Answer

4

Answer

-6

Question 41

What is the y intercept for the equation:
y = -8x² + 3x - 7

Accepted Answer

-7

Answer

-8

Answer

3

Answer

7

Question 42

What direction is the following equation opening?
y=5x²+6x+9

Accepted Answer

Up

Answer

Down

Answer

left

Answer

right

Question 43

What direction is the following equation opening?
y=-3x²-7x+8

Accepted Answer

Down

Answer

Up

Answer

left

Answer

right

Question 44

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 45

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 46

What do we call the highest or lowest point of a quadratic?

Accepted Answer

vertex

Answer

parabola

Answer

graph

Answer

point

Question 47

Does the equation have a max or min?
y = 2x² + 7x + 5

Accepted Answer

min

Answer

max

Question 48

What is the vertex?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 49

What is the definition for a vertex?

Accepted Answer

place where the curve changes direction

Answer

mirror line in a quadratic

Answer

place where the curve crosses the x axis

Answer

place where the curve crosses the y axis

Question 50

What is the definition of an axis of symmetry?

Accepted Answer

the mirror line in a quadratic

Answer

place where the curve changes direction

Answer

place where the curve crosses the x axis

Answer

place where the curve crosses the y axis

Question 51

Which equation below is a quadratic?

Accepted Answer

y=3x2-6

Answer

y=9x+5

Answer

y=5x3+6

Answer

x=3x

Question 52

If each mark on the x-axis represents one second, when did the object reach its maximum height?

Accepted Answer

2.5 seconds

Answer

2 seconds

Answer

5.5 seconds

Answer

3 seconds

Question 53

If each mark on the x-axis represents one second, when did the object reach the ground?

Accepted Answer

5.5 seconds

Answer

2.5 seconds

Answer

6 seconds

Answer

5 seconds

Question 54

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 55

How many solutions does this graph have?

Accepted Answer

one

Answer

two

Answer

no solutions

Answer

cannot be determined

Question 56

Use the graph to determine the solutions.

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

1 and -3

Answer

-1 and 3

Question 57

What is the range of this quadratic function?

Accepted Answer

(negative infinity, 4]

Answer

All real numbers.

Answer

[2, infinity)

Answer

[4, infinity)

Question 58

What is the range of this function?

Accepted Answer

[-2, infinity)

Answer

All real numbers.

Answer

[2, infinity)

Answer

[0, infinity)

Question 59

Does this graph have a maximum or minimum value?

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 60

All of the y-values or outputs are called what?

Accepted Answer

Range

Answer

Domain

Answer

Relation

Answer

Function

Question 61

Is the relation a function? Why.

Accepted Answer

No, because the x-value 11 has two y-values pair with it.

Answer

Yes, because every y-value has an x-value.

Question 62

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

Accepted Answer

-2x² + 11x -4

Answer

2x²+ 3x +1

Answer

-2x²- 11x -4

Answer

2x² + 5x -7

Question 63

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 64

Add the polynomials.
(2x + 5y) + (3x - 2y)

Accepted Answer

5x + 3y

Answer

3x + 5y

Answer

5x + 7y

Answer

7xy + 1xy

Functions Review Algebra

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