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HWK#25: Radical Functions

Total questions: 23

Worksheet time: 2hrs 34mins

Name
Class
Date
1.

What are the transformations of this functions compared to the parent function?

a)

Vertical Translation: Shifted down 2 units

b)

Vertical Translation: Shifted up 2 units

c)

Horizontal Translation: Shifted left 2 units

d)

Horizontal Translation: Shifted right 2 units

2.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5 units, shifted down 2units, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by a factor of 2, and shifted right 5 units

c)

Reflected over the x-axis, vertical stretch by a factor of 2, and shifted left 5 units

d)

Shifted right 5 units, shifted down 2 units

3.

Which of these equations shifts a radical equation right 5 units and down once?

a)
b)
c)
d)
4.

What is the parent function of square root functions?

a)

f(x) = x

b)
c)
d)

f(x) = x²

5.

Which of the following is the function shown in the graph?

a)
b)
c)
d)
6.
a)

reflects over x axis, vertical stretch by a factor of 3, right 2 units, up 1units

b)

reflects over y axis, vertical shrink by a factor of -3, left 2 units, up 1units

c)

reflects over x axis, vertical stretch by a factor of -3, left 2 units, up 1 unit

d)

reflects over y axis, vertical shrink by a factor of 1/3, right 2 units, up 1 unit

7.

Identify the Transformations.

a)

Vertical stretch by a factor of 2 and down 4 units

b)

Vertical Shrink by a factor of ½ and down 4 units

c)

Vertical stretch by a factor of 2 and up 4 units

d)

Vertical Shrink by ½ and right 4 units

8.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
9.
What kind of function is represented by the graph?
a)
Cube Root Function
b)
Cubic Function
c)
Polynomial Function
d)
Square Root Function
10.

Solve for the variable x:

a)

x = 81

b)

x = -9

c)

x = 9

d)

x = -81

11.
a)
x = 5
b)
x = -6
c)
x = 14
d)
x = -1
12.
Solve the cube root equation
a)
36
b)
-216
c)
216
d)
-36
13.

What is the base of the following equation?

43 = 64

a)

3

b)

4

c)

64

d)

43

14.

What type of function is shown?

a)

cube root function

b)

square root function

c)

logarithm function

d)

exponential function

15.

What is the exponent of the following equation?

43 = 64

a)

3

b)

4

c)

64

d)

43

16.

What is the Power of the following equation?

43 = 64

a)

3

b)

4

c)

64

d)

43

17.

Rewrite log28 = 3 in exponential form

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

18.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
19.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
20.
Condense the following logarithm: lnx + ln4 
a)
ln 4x
b)
ln 4/x
c)
log 4 + log x
d)
ln x4
21.

What is the Domain for the graph?

a)

A

-4 ≤ x < ∞

b)

B

− ∞ < x ≤ -2

c)

C

-2 ≤ x < ∞

d)

D

− ∞ < x ≤ -4

22.

What is the relationship between the cube root function and the cubic function?

a)

They are the same.

b)

They are opposite of each other.

c)

There are inverses of each other.

d)

No way to tell.

23.

What is the relationship between the square root function and the quadratic function?

a)

They are inverses of each other.

b)

They are the same.

c)

They are opposite of each other.

d)

No way to tell.