Question 1

All transformed  functions can be represented by the following:

Accepted Answer

g(x) = a * f(x -  h) + k

Answer

g(x) = a * f(x +  h) + k

Answer

g(x) = a * f(x -  h) - k

Answer

g(x) = a * f(x +  h) - k

Question 2

If I moved the vertex of the base absolute value function up 3 and to the left 4, but did not stretch or compress it, what would my new function be?

Accepted Answer

g(x) = I x + 4 I + 3

Answer

g(x) = I x + 4 I - 3

Answer

g(x) = I x - 4 I + 3

Answer

g(x) = I x + 3 I + 4

Question 3

What does it mean for a function to be stretched when it is transformed?

Accepted Answer

The graph gets closer to the y-axis faster than its base graph .

Answer

The graph gets closer to the x-axis faster than its base graph.

Question 4

What does it mean for a graph to be compressed?

Accepted Answer

The graph is flattened, and the transformed graph approaches the y-values "more slowly" than the base function.

Answer

The graph is steeper, and the transformed graph approaches the y-values "more quickly" than the base function.

Question 5

In the common format for transformed functions g(x) = a * f(x -  h) + k, the a represents what?

Accepted Answer

Whether a graph is stretched or compressed and whether it is reflected across a horizontal line or not.

Answer

Whether a graph is stretched or compressed and whether it is reflected across a vertical line or not.

Question 6

In the common form of a transformed function, g(x) = a * f(x -  h) + k, if the absolute value of a is greater than 1 then the function is:

Accepted Answer

stretched

Answer

translated left by the value of a

Answer

translated right by the value of a

Answer

compressed

Question 7

In the common form of a transformed function, g(x) = a * f(x -  h) + k, if the absolute value of a is between 0 and 1, then the function is:

Accepted Answer

Compressed

Answer

Moves down by the value of "a"

Answer

Stretched

Answer

Moves up by the value of "a"

Question 8

What is the point (0,0) in this graph called?

Accepted Answer

Turning Point or Inflection Point

Answer

Line of symmetry

Answer

Root

Answer

Vertex

Question 9

What is the function for the transformed graph above?

Accepted Answer

f(x) = √(x+3)-2

Answer

f(x) = √(x-3)-2

Answer

f(x) = √(x+3)+2

Answer

f(x) = √(x-3)+2

Question 10

What is the function for the transformed graph?

Accepted Answer

f(x) = 5I x -3 I + 1

Answer

f(x) = 5I x +3 I + 1

Answer

f(x) = I x -3 I + 1

Answer

f(x) = I x + 3 I + 1

Question 11

The graph f(x) is translated to form a new function of g(x).   If g(x) =  f(x- 3) + 2,  what are the coordinates of the point shown in the newly transformed function?

Accepted Answer

(5, 5)

Answer

(5, 1)

Answer

(-1, 3)

Answer

(-1, 5)

Question 12

Is the ordered pair (2, 1) part of the solution set for this function?

Accepted Answer

no

Answer

yes

Answer

it depends

Question 13

What type of function does this graph represent?

Accepted Answer

Greatest Integer Function or Floor - a type of step function

Answer

A quadratic function with a restricted domain

Answer

Greatest Integer Function or Floor a type of exponential function

Answer

This is not a function.

Question 14

What is the correct piecewise function for the graph?

Accepted Answer

f(x) = 2x + 3 if x < 3 and f(x) = 2 if x >= 3

Answer

f(x) = 1/2x + 3 if x <= 3 and f(x) = 2 if x > 3

Answer

f(x) = 1/2x + 3 if x < 3 and f(x) = 2 if x >= 3

Answer

f(x) = 2x + 3 if x <= 3 and f(x) = 2 if x > 3

Question 15

What is the domain for this function assuming the line segments repeat with the same pattern forever.

Accepted Answer

The domain is all real numbers.

Answer

The domain is all whole numbers

Answer

The domain is all rational numbers.

Answer

The domain is all integers.

Question 16

What is the range for this function assuming the line segments repeat with the same pattern forever.

Accepted Answer

The range is all integers.

Answer

The range is all rational numbers.

Answer

The range is all whole numbers.

Answer

The range is all real numbers.

Question 17

Identify the type of function from the table of data.

Accepted Answer

Cube Root

Answer

Exponential

Answer

Quadratic

Answer

Square Root

Question 18

What type of function does the table of data represent?

Accepted Answer

Exponential

Answer

Quadratic

Answer

Linear

Answer

Cubic

Question 19

What type of function does the table of data represent?

Accepted Answer

Square Root

Answer

Exponential

Answer

Linear

Answer

Quadratic

Question 20

What type of function is represented by the table of data?

Accepted Answer

Linear

Answer

Exponential

Answer

Cube Root

Answer

Quadratic

Question 21

What is the vertex for the base square root function?

Accepted Answer

(0,0)

Answer

(9,3)

Answer

(1,1)

Answer

(4,2)

Question 22

What is the point (0,0) called in the base absolute value function?

Accepted Answer

vertex

Answer

inflection point

Answer

root

Answer

line of symmetry

Question 23

Given the graph, at what point is f(x) = g(x) (where x is less than 5)?

Accepted Answer

(3, 4)

Answer

(7.2, 4.9)

Answer

(8, 5)

Answer

(0, 0)

Question 24

Given the graph above, f(?) = 3?

Accepted Answer

0

Answer

1

Answer

3

Answer

3.4

Question 25

f(x) = 	√(x + _______) + _______

Accepted Answer

1 and 2

Answer

- 1 and -1

Answer

-1 and 2

Answer

2 and 1

Question 26

What is the function for g(x)?

Accepted Answer

g(x) = (x - 5)^2

Answer

g(x) = (x + 5)^2

Answer

g(x) = x^2 + 5

Answer

g(x) = x^2 - 5

Question 27

What is the vertex for the function f(x) = (x - 5)^2 + 6?

Accepted Answer

(5, 6)

Answer

(-5, 6)

Answer

(6, 5)

Answer

(6, -5)

Question 28

What is the vertex in the function            h(x) = I x - 2 I + 3

Accepted Answer

(2, 3)

Answer

(3, 2)

Answer

(-2, 3)

Answer

(3, -2)

Question 29

What is the line of symmetry for the function g(x) = Ix - 5I + 2

Accepted Answer

x = 5

Answer

x = 2

Answer

x = -5

Answer

x = -2

Question 30

What is the domain and range for f(x) assuming there are arrows on the end of the graphs?

Accepted Answer

Domain is  x>= -1  ;   Range is  y >= 2

Answer

Domain is  all real numbers  Range:  y >= -1

Answer

Domain is x >= -1   Range is all real numbers

Answer

Domain is x >= 2    Range is all real numbers

Question 31

What is the domain and range of g(x)?

Accepted Answer

Domain:  all real numbers  Range:  y >= 0

Answer

Domain: y > 0   Range:  all real numbers

Answer

Domain:  all real numbers  Range:  y > 0

Question 32

Given the piecewise function f(x) = .5 * I x I , write the function as a piecewise function without using the absolute value signs.

Accepted Answer

f(x) is .5x when x > 0 and f(x) is -.5x when x <= 0

Answer

f(x) is .5x when x is all real numbers

Answer

f(x) is .5x when x < 0 and f(x) is -.5x when x <= 0

Answer

f(x) is .5x when x < 0 and f(x) is -.5x when x >= 0

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