Free Printable 3/6 3rd DA Review

1.

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

a)

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

b)

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

d)

Shifted right 5, shifted down 2

2.

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

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

3.

$\sqrt{x+3}=5$

a)

$x=22$

b)

$x=28$

c)

$x=2$

d)

No solution

4.

Solve the radical equation: $\sqrt{x-5}=\sqrt{23-x}$

a)

x = -14

b)

x = 14

c)

No Solution

d)

x = 28

5.

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

6.

7x² + 1 = 8

a)

± 1

b)

± 7

c)

± √7

d)

± 8

7.

Solve for x:

(3x + 1)³ = 64

a)

-1

b)

6

c)

1

d)

No real solution

8.

Identify the Transformations.

a)

Vertical stretch by 2 and down 4

b)

Horizontal compression by ½ and down 4

c)

Vertical stretch by 2 and up 4

d)

Horizontal compression by ½ and right 4

9.

What transformations has the function undergone?

a)

reflect over y, vertical compress 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

10.

Solve the cube root equation

a)

36

b)

-216

c)

216

d)

-36

11.

$\left(x+7\right)^3+8=16$

a)

5

b)

505

c)

-505

d)

-5

e)

None

12.

Solve the cube root equation

a)

27

b)

20

c)

3

d)

30

13.

What is the value of x in the equation (2x + 1)^1/3 + 3 = 6

a)

1

b)

13

c)

4

d)

16

e)

None

14.

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

15.

Which is the inverse of the table?

a)

b)

c)

d)

16.

Which graph represents f^-1(x)?

a)

b)

c)

d)

17.

Solve the cube root equation

a)

36

b)

-216

c)

216

d)

-36

18.

$\left(x+2\right)^{\frac{1}{2}}+3=7$

(a)

19.

$\sqrt{3x-11}=\sqrt{5-x}$

(a)

20.

Solve

a)

-5

b)

5

c)

10

d)

25

21.

$y=-\left(x-6\right)^2+12$ Find the inverse to the following function.

a)

$y=\sqrt[]{\frac{x-7}{6}}-1$

b)

$y=\sqrt[]{-x+12}+6$

c)

$y=\sqrt[]{-\frac{x}{15}+\frac{13}{5}}-6$

d)

$y=\sqrt[]{\frac{1}{16}x-3}-4$

22.

$y=-15\left(x+6\right)^2+39$ Find the inverse to the following function.

a)

$y=\sqrt[]{\frac{x-7}{6}}-1$

b)

$y=\sqrt[]{-x+12}+6$

c)

$y=\sqrt[]{-\frac{x}{15}+\frac{13}{5}}-6$

d)

$y=\sqrt[]{\frac{1}{16}x-3}-4$

23.

$y=16\left(x+4\right)^2+48$ Find the inverse to the following function.

a)

$y=\sqrt[]{\frac{x-7}{6}}-1$

b)

$y=\sqrt[]{-x+12}+6$

c)

$y=\sqrt[]{-\frac{x}{15}+\frac{13}{5}}-6$

d)

$y=\sqrt[]{\frac{1}{16}x-3}-4$

24.

$y=6\left(x+1\right)^2+7$ Find the inverse to the following function.

a)

$y=\sqrt[]{\frac{x-7}{6}}-1$

b)

$y=\sqrt[]{-x+12}+6$

c)

$y=\sqrt[]{-\frac{x}{15}+\frac{13}{5}}-6$

d)

$y=\sqrt[]{\frac{1}{16}x-3}-4$

25.

$y=4\left(x+8\right)^2-100$ Find the inverse to the following function.

a)

$y=\sqrt[]{\frac{1}{4}x+25}-8$

b)

$y=\sqrt[]{\frac{-x-9.24}{8.9}}+6.97$

c)

$y=\sqrt[]{\frac{x}{1.5}+2}-2.2$

d)

$y=\sqrt[]{x+1.5}-2.3$

26.

$y=-\left(x-3\right)^2$ Find the inverse to the following function.

a)

$y=\sqrt[]{\frac{x}{5}+5}-2$

b)

$y=\sqrt[]{\frac{x+3}{2}}$

c)

$y=\sqrt[]{-x+54}-7$

d)

$y=\sqrt[]{-x}+3$

27.

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

28.

What transformations has the function undergone compared to the parent function f(x)= $x^3$ ?

a)

reflect over y, vertical compress 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

29.

Which is f ^-1(x)?

a)

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

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

30.

What is the inverse of the given function?

a)

$f^{-1}\left(x\right)=^3\sqrt{-2x+12}$

b)

$f^{-1}\left(x\right)=^3\sqrt{-2x}+12$

c)

$f^{-1}\left(x\right)=\left(-2x+12\right)^3$

d)

$f^{-1}\left(x\right)=\left(2x-12\right)^3+12$

31.

What is the inverse of the function?

a)

$f^{-1}\left(x\right)=\ \left(\frac{x-9}{3}\right)^3$

b)

$f^{-1}\left(x\right)=\ \left(\frac{x-3}{9}\right)^3$

c)

$f^{-1}\left(x\right)=^3\sqrt{\frac{x-9}{3}}$

d)

$f^{-1}\left(x\right)=^3\sqrt{x-9}+3$

32.

What is the inverse of the given function?

a)

$f^{-1}\left(x\right)=^3\sqrt{5x+5}-4$

b)

$f^{-1}\left(x\right)=^3\sqrt{5x+1}$

c)

$f^{-1}\left(x\right)=^3\sqrt{5x+9}$

d)

$f^{-1}\left(x\right)=^3\sqrt{5x-4}+5$

33.

What is the inverse of the given function?

a)

$f^{-1}\left(x\right)=-\left(x-3\right)^3+9$

b)

$f^{-1}\left(x\right)=\left(x-3\right)^3-9$

c)

$f^{-1}\left(x\right)=-\left(x-9\right)^3+3$

d)

$f^{-1}\left(x\right)=-\left(x+9\right)^3-3$

3/6 3rd DA Review

Total questions: 33

Worksheet time: 2hrs 48mins

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