Quiz about Functions: VA Algebra 2 SOL Review

Question 1

Create the formula for the sequence:
2, 8, 14, ...

Accepted Answer

an=6n-4

Answer

an=2+6n

Answer

an=-6+6n

Answer

an=4-6n

Question 2

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

Accepted Answer

127

Answer

32

Answer

64

Answer

356

Question 3

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

Accepted Answer

a_n= -4n + 29

Answer

a_n = 4n + 29

Answer

a_n = -4n + 25

Answer

a_n = 4n + 25

Question 4

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

Accepted Answer

19, 23, 27

Answer

18, 22, 26

Answer

19, 21, 23

Answer

18, 21, 24

Question 5

Is the sequence geometric or arithmetic?
3, 6, 9, 12...

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 6

What is the explicit rule for the sequence:
11, 22, 44, 88...

Accepted Answer

a_n = 11(2)^n-1

Answer

a_n = 2(11)^n-1

Answer

an = 11x2

Question 7

What is the common difference of this sequence?

Accepted Answer

3

Answer

4

Answer

7

Answer

1

Question 8

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

Accepted Answer

2

Answer

4

Answer

3

Answer

6

Question 9

What is the explicit formula the following arithmetic sequence?

Accepted Answer

3n

Answer

3(2)n-1

Answer

2(3)n-1

Answer

3 + 3n

Question 10

Name the parent function.

Accepted Answer

exponential

Answer

square root

Answer

quadratic

Answer

cubic

Question 11

What is the equation of this graph?

Accepted Answer

f(x) = |x + 2| - 3

Answer

f(x) = (x + 2)² - 3

Answer

f(x) = (x - 2)² - 3

Answer

f(x) = |x - 2| - 3

Question 12

What is the equation of this graph?

Accepted Answer

f(x) = -(x - 1)² + 3

Answer

f(x) = -(x + 1)² + 3

Answer

f(x) = -(x + 1)² - 3

Answer

f(x) = -(x + 1)² - 3

Question 13

If the blue is f(x)=x^2,then the red must be

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 14

Match the equation to its description.

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 15

Which equation below is a quadratic function translated left 4 units?

Accepted Answer

y = (x + 4)²

Answer

y = x² + 4

Answer

y = (x - 4)²

Answer

y = 4x2

Question 16

Which of the following is true about the function in comparison to f(x)?

Accepted Answer

horizontal shift to the left 4 and vertical shift down 2

Answer

horizontal shift to the right 4 and vertical shift down 2

Answer

horizontal shift to the left 4 and vertical shift up 2

Answer

horizontal shift to the right 4 and vertical shift up 2

Question 17

Which of the following is true about the function in comparison to f(x)?

Accepted Answer

horizontal shift to the right 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the left 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the right 2 and vertical compression by a factor of 3

Answer

horizontal shift to the left 2 and vertical compression by a factor of 3

Question 18

What type of function is shown?

Accepted Answer

square root

Answer

cube root

Answer

logarithm

Answer

exponential

Question 19

What type of function is shown?

Accepted Answer

cube root

Answer

Exponential

Answer

square root

Answer

quadratic

Question 20

Name the parent function.

Accepted Answer

linear

Answer

constant

Answer

quadratic

Answer

exponential

Question 21

What is the name of this function?

Accepted Answer

Rational Function

Answer

Parabola

Answer

Ellipse

Answer

Cubic

Question 22

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 23

Which statement is true about this graph?

Accepted Answer

This function is always increasing

Answer

This function is always constant

Answer

This function is never increasing

Answer

This function is both increasing and decreasing

Question 24

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 25

When is the velocity decreasing?

Accepted Answer

15 < t < 40

Answer

0 < t < 60

Answer

40 < t < 60

Answer

-40 < t < 0

Question 26

What is the Horizontal Asymptote?

Accepted Answer

y= 1

Answer

None

Answer

y= 0

Answer

y= 5/4

Question 27

What is the horizontal asymptote?

Accepted Answer

y = 2

Answer

y = -2

Answer

x = 2

Answer

y = 0

Question 28

Find the vertical asymptote(s) (if any) of the graph of the function.
3x / (x² - 9)

Accepted Answer

X=3, x=-3

Answer

x=3

Answer

x=0

Answer

None

Question 29

Find the horizontal asymptote.

Accepted Answer

y = 1/2

Answer

y = -2

Answer

none

Answer

y = 0

Question 30

What is the definition of an ASYMPTOTE?

Accepted Answer

A line that a curve approaches, as it heads towards infinity.

Answer

A curved line.

Answer

A line that only touches the origin.

Answer

A line that only lives on the first quadrant.

Question 31

What is the vertical asymptote?

Accepted Answer

x = 2

Answer

y = 2

Answer

x = 1

Answer

y = 1

Question 32

Which of the following best describes the continuity at x = 5?

Accepted Answer

Removable Point Discontinuity

Answer

Continuous

Answer

Non-removable Infinite Discontinuity

Answer

Non-removable Jump Discontinuity

Question 33

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

Accepted Answer

Vertical Asymptote

Answer

Discontinuity

Answer

Bob, bob, bob

Answer

Infinite

Question 34

What is the inverse of this function?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 35

What is the inverse of this function?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 36

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 37

If f(x) = x²+ 9 and
g(x) = x - 9,
find f(x) - g(x).

Accepted Answer

x2-x+18

Answer

x2+x+9

Answer

x2-x+9

Answer

x2-x

Question 38

If f(x) = 9 - 3x and
g(x) = 5x - 7,
find f(x) + g(x).

Accepted Answer

2x+2

Answer

14x-10

Answer

-8x+2

Answer

2x-2

Question 39

Given f(x) = x² + 5 and g(x) = 2x³ - 1, find (f/g)(-3).

Accepted Answer

-14/55

Answer

14/55

Answer

2

Answer

-2

Question 40

If f(x) = x²+9 and
g(x) = x-9,
find f(x)/g(x).

Accepted Answer

(x²+ 9)/(x - 9)

Answer

x

Answer

x2 - x

Answer

(x - 9)/(x²+ 9)

Question 41

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Functions: VA Algebra 2 SOL Review

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