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Unit 2 Test - Functions

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

If a number is on the inside and it goes right, the sign should be a -

a)

True

b)

False

2.

If a number is on the outside and it goes down, the sign should be a +

a)

True

b)

False

3.

If I see a negative on the outside, it is a reflection/flip on the x-axis.

a)

True

b)

False

4.

If I see a negative on the inside, it is a reflection/flip on the y-axis.

a)

True

b)

False

5.

The equation for Quadratic is...

a)

y = xy\ =\ \left|x\right|

b)

f(x) = x2f\left(x\right)\ =\ x^2

c)

y = xy\ =\ \sqrt{x}

d)

f(x) = x3f\left(x\right)\ =\ x^3

e)

y = xy\ =\ x

6.

The equation for Cubic is...

a)

y = xy\ =\ \left|x\right|

b)

f(x) = x2f\left(x\right)\ =\ x^2

c)

y = xy\ =\ \sqrt{x}

d)

f(x) = x3f\left(x\right)\ =\ x^3

e)

y = xy\ =\ x

7.

The equation for Square Root is...

a)

y = xy\ =\ \left|x\right|

b)

f(x) = x2f\left(x\right)\ =\ x^2

c)

y = xy\ =\ \sqrt{x}

d)

f(x) = x3f\left(x\right)\ =\ x^3

e)

y = xy\ =\ x

8.

The equation for Absolute Value is...

a)

y = xy\ =\ \left|x\right|

b)

f(x) = x2f\left(x\right)\ =\ x^2

c)

y = xy\ =\ \sqrt{x}

d)

f(x) = x3f\left(x\right)\ =\ x^3

e)

y = xy\ =\ x

9.

Absolute Value looks like....

a)

a straight diagonal line

b)

"up and out"

c)

a "squiggle"

d)

the letter "U"

e)

the letter "V"

10.

Linear looks like....

a)

a straight diagonal line

b)

"up and out"

c)

a "squiggle"

d)

the letter "U"

e)

the letter "V"

11.

Square Root looks like....

a)

a straight diagonal line

b)

"up and out"

c)

a "squiggle"

d)

the letter "U"

e)

the letter "V"

12.

Cubic looks like....

a)

a straight diagonal line

b)

"up and out"

c)

a "squiggle"

d)

the letter "U"

e)

the letter "V"

13.

Quadratic looks like....

a)

a straight diagonal line

b)

"up and out"

c)

a "squiggle"

d)

the letter "U"

e)

the letter "V"

14.

Which function states "up 3, reflection on the y axis, left 2"?

a)

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

b)

y = x + 2 + 3y\ =\ \left|-x\ +\ 2\right|\ +\ 3

c)

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

15.

Which function states "down 2, left 4, parent: linear"?

a)

y = (x+4)2y\ =\ \left(x+4\right)-2

b)

y = (x+4)22y\ =\ \left(x+4\right)^2-2

c)

y = (x4) +2y\ =\ \left(x-4\right)\ +2

d)

y = (x 4)2+2y\ =\ \left(x\ -\ 4\right)^2+2

16.

Write the function that states: Quadratic, reflect on x axis, right 7, down 11.

a)

y = (x+7)211y\ =\ -\left(x+7\right)^2-11

b)

y = (x+7)211y\ =\ \left(-x+7\right)^2-11

c)

y = (x7)211y\ =\ -\left(x-7\right)^2-11

d)

y = (x7)2+11y\ =\ \left(-x-7\right)_{ }^2+11

17.

Which function states: Absolute Value, up 3?

a)

y =x+3y\ =\left|x\right|+3

b)

y =x3y\ =\left|x-3\right|

c)

y = x+3y\ =\ \left|x+3\right|

d)

y = x3y\ =\ \left|x\right|-3

18.

Which function states: Cubic, left 10, down 13?

a)

y = (x+10)3+13y\ =\ \left(x+10\right)^3+13

b)

y = (x10)3+13y\ =\ \left(x-10\right)^3+13

c)

y = (x+10)313y\ =\ \left(x+10\right)^3-13

d)

y = (x10)313y\ =\ \left(x-10\right)^3-13

19.

If you go up, the number on the outside will be....

a)

positve

b)

negative

20.

If you go left, the number on the inside will be....

a)

positve

b)

negative

21.

If you go right, the number on the inside will be....

a)

positve

b)

negative

22.

If you go down, the number on the outside will be....

a)

positve

b)

negative

23.

Find the DOMAIN and RANGE of the Radical Function

a)

Domain (0, ); Range (4, )Domain\ \left(0,\ \infty\right);\ Range\ \left(-4,\ \infty\right)

b)

Domain (4, ); Range (4, )Domain\ \left(4,\ \infty\right);\ Range\ \left(-4,\ \infty\right)

c)

Domain (, 0); Range (, 4)Domain\ \left(-\infty,\ 0\right);\ Range\ \left(-\infty,\ -4\right)

d)

Domain (4, ); Range (0, )Domain\ \left(-4,\ \infty\right);\ Range\ \left(0,\ \infty\right)

24.

What is the graph of the function  y=\sqrt{x}+4  ?

a)
b)
c)
d)
25.

What transformation would occur to the parent function,

 f(x)=x2f\left(x\right)=x^2  to arrive at the new equation,  f(x)=(x2)21f\left(x\right)=\left(x-2\right)^2-1  ?

a)

2 units left and 1 unit down

b)

2 units left and 1 unit up

c)

2 units right and 1 unit down

d)

2 units right and 1 unit up

26.

Which function is represented by this graph?

a)

y=(x3)2+1y=\left(x-3\right)^2+1

b)

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

c)

y=(x3)21y=\left(x-3\right)^2-1

d)

y=(x+3)21y=\left(x+3\right)^2-1

27.

Is this a function or not a function?

a)

Function

b)

Not a Function

28.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
29.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
30.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
31.
Is this table a function or not a function? 
a)
Function
b)
Not a Function 
32.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
33.

What is the equation?

a)

y= x + 2

b)

y= x + 3

c)

y= x - 3

d)

y= x - 2

34.

Describe the transformation(s) of the cubic function.

a)

shifts left 2, shifts up 5

b)

shifts right 2, shifts down 5

c)

shifts left 2, shifts down 5

d)

shifts right 2, shifts up 5

35.

Select the equation for the absolute value function given.

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

36.

Select the equation for the quadratic function given:

a)

y = (x - 2)2 + 4

b)

y = -(x - 4)2 + 2

c)

y = -(x - 2)2 + 4

d)

y = -(x + 2)2 + 4

37.

What is the domain?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

[2,-2]

d)

[-4,4]

38.

What is the range?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

[2,-2]

d)

[-4,4]

39.

What is the range?

a)

( -5 , 5 )

b)

[-2 , -4 )

c)

(5,-5)

d)

(-4,-2]

40.

What is the domain?

a)

[ -2 , 2 )

b)

( 5 , 1 ]

c)

[1,5)

d)

(2,-2]