Free Printable Ch T Review

1.

My printed notes have section are taped/glued in my notebook in the proper locations with section titles.

a)

YES

b)

NO

2.

What type of function is this?

a)

quadratic

b)

absolute value

c)

linear

d)

exponential

3.

Which of the following is a function?

a)

b)

c)

d)

4.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

5.

Is this is a function or not a function?

a)

Function

b)

Not a Function

6.

Is this a function or not a function?

a)

Function

b)

Not a Function

7.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

8.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

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

d)

No, because each x-value has only one y-value paired with it.

9.

Which of these tables represent a function?

a)

A

b)

B

c)

C

d)

D

10.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

11.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

12.

a)

Function

b)

Not a Function

13.

a)

Function

b)

Not a Function

14.

a)

Function

b)

Not a Function

15.

a)

Function

b)

Not a Function

16.

Which is a function?

a)

A

b)

B

c)

C

d)

D

17.

What are the ordered pairs for this relation?

a)

(60,64),(61,65),(62,66),(63,67)

b)

(64,60),(65,61),(66,62),(67,63)

c)

(60,66),(61,65),(62,64),(63,67)

d)

(66,60),(65,61),(64,62),(67,63)

18.

The following ordered pairs represent a relation.
{(1,3) , (5,15) , (2,6), (4,12) , (3,9)}
What are the range values from least to greatest!

a)

{1, 5, 2, 4, 3}

b)

{3, 15, 6, 12, 9}

c)

{3}

d)

{3, 6, 9, 12, 15}

19.

A table is shown.
The following sets can be used to fill the blank spaces in the domain column.
Which set will make this table a Function.

a)

Strawberry, Banana, Peach

b)

Mango, Banana, Blueberry

c)

Peach, Banana, Vanilla

d)

Chocolate, Banana, Strawberry

20.

What is the range of this set of data?

a)

b)

c)

d)

21.

a)

b)

c)

d)

22.

a)

16

b)

32

c)

24

d)

-32

23.

a)

-10

b)

20

c)

40

d)

-15

24.

What is the domain of f?

a)

b)

c)

d)

25.

a)

b)

c)

d)

26.

a)

-2

b)

2

c)

1

d)

7

27.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

28.

What is the range of the function?

a)

[-1, +∞)

b)

(-1,1)

c)

[1.5, +∞)

d)

(-2, 2)

29.

Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function!

a)

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

b)

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

30.

Find the Range.

a)

(-∞, +∞)

b)

(0, 11)

c)

[0, ∞)

d)

(0, ∞)

31.

What is the Domain of this linear function?

a)

[-6, 6]

b)

[0, 7]

c)

[2, 7]

d)

No Solution

32.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

33.

What is the parent function for an absolute value function?

a)

f(x)=x³

b)

f(x)=x

c)

f(x)=IxI

d)

f(x)=x²

34.

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

a)

Shifts left 5

b)

Shifts right 5

c)

Shifts up 5

d)

Shifts down 5

35.

Describe the transformation that is applied to the parent function.
f(x) = 3 Ix+8I

a)

Stretches by 3, Shifts left 8

b)

Stretches by 3, Shifts right 8

c)

Stretches by 3, Shifts up 8

d)

Stretches by 3, Shifts down 8

36.

What is the range to this graph?

a)

y > 1

b)

y > 1

c)

y < 1

d)

y < 1

37.

What is the equation to this graph?

a)

f(x)= Ix+2I +1

b)

f(x)= Ix-2I +1

c)

f(x)= Ix+2I -1

d)

f(x)= Ix-2I -1

38.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= (x+5)²

a)

shifted up five units

b)

shifted down five units

c)

shifted left 5 units

d)

shifted right 5 units

39.

From the parent function $y=x^2$ , which answer shows the correct equation of the graph shown?

a)

$y=3\left(x-2\right)^2-1$

b)

$y=3\left(x+2\right)^2+1$

c)

$y=\frac{1}{3}\left(x-2\right)^2+1$

d)

$y=3\left(x-2\right)^2+1$

40.

Write a function g whose graph represents the indicated transformation of the graph of f.
$f\left(x\right)=3\left|x+5\right|$ ; reflection in the x-axis

a)

$g\left(x\right)=-3\left|x+5\right|$

b)

$g\left(x\right)=3\left|x-5\right|$

c)

$g\left(x\right)=-3\left|x-5\right|$

d)

$g\left(x\right)=3\left|x+5\right|$

41.

What transformations have been applied to the function

f\left(x\right)=-2\left(x+1\right)^3

? Select all that apply.

a)

X axis reflection

b)

Y axis reflection

c)

Left 1

d)

Vertical stretch by 2

e)

Horizontal shrink by 1/2

42.

Which of the following equations represents the graph pictured?

a)

$f\left(x\right)=\left(x-3\right)^2$

b)

$f\left(x\right)=\left(x+3\right)^2$

c)

$f\left(x\right)=x^2+3$

d)

$f\left(x\right)=3x^2$

43.

Which of the following equations represents the graph pictured?

a)

$f\left(x\right)=x^3-2$

b)

$f\left(x\right)=x^3+2$

c)

$f\left(x\right)=-2x^3$

d)

$f\left(x\right)=\frac{x^3}{2}$

44.

Which of the following graphs has NOT been shifted horizontally?

a)

b)

c)

d)

45.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

46.

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

a)

Vertical Stretch of 5
Down 2

b)

Vertical Shrink of 5
Up 2

c)

Vertical Stretch of 5
Up 2

d)

Vertical Shrink of 5
Down 2

47.

What is the correct domain and range for the parent function $f\left(x\right)=x^2$

a)

D: $\left(0,\infty\right)$ , R: $\left(0,\infty\right)$

b)

D: $\left(-\infty,\infty\right)$ , R: $\left(\infty,0\right)$

c)

D: $\left(-\infty,\infty\right)$ , R: $\left[0,\infty\right)$

d)

D: $\left[0,\infty\right)$ , R: $\left(-\infty,\infty\right)$

48.

Describe the transformation to f(x) that results in g(x) given $g\left(x\right)=f\left(x-1\right)-5$

a)

f(x) has been translated to the left one and down five.

b)

f(x) has been translated to the right one and down five.

c)

f(x) has been translated to the left one and up five.

d)

f(x) has been translated to the right one and up five.

49.

Which of the following is the graph of $f\left(x\right)=\left(x-2\right)^3+1$

a)

b)

c)

d)

50.

Describe the transformation from the parent graph

a)

Reflect over x, right 3, down 4

b)

Reflect over y, right 3, down 4

c)

Reflect over x, right 3, up 4

d)

Reflect over y, left 3, down 4

51.

Describe the parent graph transformation

a)

vertical stretch by 1/2, left 1, down 3

b)

horizontal stretch by 1/2, right 1, down 3

c)

vertical compression by 1/2, left 1, down 3

d)

horizontal compression by 1/2, right 1, down 3

52.

What transformations has the function undergone?

a)

reflect over y, vertical compression by 2, right 5, up 1

b)

reflect over x, horizontal compression by 2, left 5, up 1

c)

reflect over x, vertical stretch by 2, right 5, up 1

d)

reflect over y, horizontal stretch by -2, right 5, up 1

53.

Which transformations are involved in the equation $y=\frac{1}{2}\sqrt{x+1}-1$ ?

a)

Horizontal translation left

b)

Vertical compression

c)

Vertical translation down

d)

Horizontal translation right

e)

Vertical stretch

54.

If $f\left(x\right)=a\left(x-h\right)^2+k$ has a horiz. shift of -2, a vert. shift of 3 and a vert. stretch of 4, what is the equation for $f\left(x\right)$ ?

a)

$f\left(x\right)=4\left(x+2\right)^2+3$

b)

$f\left(x\right)=4\left(x-2\right)^2+3$

c)

$f\left(x\right)=3\left(x+2\right)^2+4$

d)

$f\left(x\right)=2\left(x-4\right)^2+3$

55.

f(x) = 2x

a)

Vertical stretch

b)

Vertical compression

c)

Vertical translation up

d)

Reflection over the x-axis

e)

No Transformation

56.

Which is the graph of

y=\left|x\right|

?

a)

b)

c)

d)

57.

a)

y=3|x+2|-2

b)

y=⅓|x-2|-2

c)

y=3(x-2)²-2

d)

y=3|x-2|-2

58.

a)

y=(x²-2) +1

b)

y=(x-2)²+1

c)

y=(x+1)²-2

d)

y=|x+2| +1

59.

a)

Horizontal Translation of -3, Vertical Stretch of 3, Reflection over x axis

b)

Horizontal Translation of +3, Horizontal Stretch of 3, Reflection over x axis

c)

Horizontal Translation of +3, Vertical Stretch of 3, Reflection over x axis

d)

Horizontal Stretch of -3, Vertical Stretch of 3, Reflection over x axis

60.

What are the transformations?

y=3(x-4)²?

a)

Horizontal translation of -4, Vertical Translation of 3

b)

Horizontal translation of +4, Vertical Stretch by a factor of 3

c)

Horizontal Translation of +4, Vertical Stretch by a factor of ⅓

d)

Horizontal stretch by a factor of 4, Vertical translation of 3

61.

Describe the transformation of y = f(x) for the new function

f(x) = 5x² + 2

a)

Vertical Stretch by a factor of 5, Vertical Translation of +2

b)

Vertical Stretch by a factor of 5, Horizontal Translation of +2

c)

Vertical Stretch by a factor of 5, Horizontal Translation of -2

d)

Horizontal Stretch by a factor of 5, Horizontal Translation of +2

62.

Compare the function y = 5x² to the parent function y = x²

a)

Wider

b)

Narrower

63.

Match the equation to its description.

a)

Reflected over x and stretched by 3

b)

Stretched by 3

c)

Reflected over x

d)

Reflected over x and up 3

64.

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

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

65.

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

a)

g(x)=(x+3)²

b)

g(x)=(x-3)²

c)

g(x)=x²+3

d)

g(x)=x²-2

66.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

67.

Which of the following is the correct equation for the given graph?

a)

f(x) = -(x + 2)² - 4

b)

f(x) = -(x - 2)² - 4

c)

f(x) = -3(x - 2)² - 4

d)

f(x) = -3(x + 2)² - 4

68.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

69.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

70.

If red represents y = x², which equation represents black?

a)

y = 7x²

b)

y = -7x²

c)

y = -(1/7)x²

d)

y = -5x²

Ch T Review

Total questions: 70

Worksheet time: 17hrs 1mins

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