Free Printable ADV U1 Test Review

1.

Which of the following parent function(s) is symmetric about the y-axis?

a)

$\frac{1}{x}$

b)

$\sqrt[]{x}$

c)

$x^3$

d)

$\left|x\right|$

2.

Which of the following parent function(s) is symmetric about the origin?

a)

$\frac{1}{x}$

b)

$\sqrt[]{x}$

c)

$x^3$

d)

$\left|x\right|$

3.

Select whether the following function is even or odd. Select the correct reasoning.

$f\left(x\right)=\left|x\right|$

a)

even

b)

odd

c)

symmetric about the y-axis

d)

symmetric about the origin

4.

Select whether the following function is even or odd. Select the correct reasoning.

$f\left(x\right)=\frac{1}{x}$

a)

even

b)

odd

c)

symmetric about the y-axis

d)

symmetric about the origin

5.

Determine which function(s) is even.

a)

$x^2$

b)

$\sqrt[3]{x}$

c)

$\log\left(x\right)$

d)

$\left|x\right|$

6.

Determine which function(s) is odd.

a)

$x^2$

b)

$\sqrt[3]{x}$

c)

$\log\left(x\right)$

d)

$\left|x\right|$

7.

Determine which function(s) is neither even or odd.

a)

$x^2$

b)

$\sqrt[3]{x}$

c)

$\log\left(x\right)$

d)

$\left|x\right|$

8.

Which functions do not have a horizontal or vertical asymptote?

a)

$\log_2\left(x\right)$

b)

$e^x$

c)

$\left|x\right|$

d)

$\log\left(x\right)$

e)

$\sqrt[3]{x}$

9.

Which parent function has a domain of $x\ne0$ and a range of $y\ne0$ ?

a)

b)

c)

d)

10.

What is the range of the function in inequality notation?

a)

$y\le2$

b)

$\left(-\infty,2\right]$

c)

All Real Numbers

d)

$y>2$

11.

What is the range of the function in interval notation?

a)

$y\le2$

b)

$\left(-\infty,2\right]$

c)

All Real Numbers

d)

$\left(-\infty,\infty\right)$

12.

Express the following in Interval Notation
-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

13.

Express the following in algebraic notation:

[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

14.

Express the following algebraic notation:

(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

15.

What is the domain of this piecewise function?

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-2\right)\cup\left(-2,1\right)\cup\left(1,\infty\right)$

c)

$\left(-1,\infty\right)$

d)

undefined

16.

What is the range of this piecewise function?

a)

undefined

b)

$\left(-\infty,-2\right)\cup\left(-2,1\right)\cup\left(1,\infty\right)$

c)

$\left[-1,\infty\right)$

d)

$\left[-2,\infty\right)\cup\left(2\right)\cup\left[-1,\infty\right)$

17.

State the range of the graphed function.

a)

-2 ≤ 𝒚 ≤ 1

b)

-2 ≤ 𝒚 < 1

c)

-3 ≤ 𝒙 < 4

d)

-3 < 𝒙 ≤ 4

18.

State the domain of the graphed function.

a)

-2 ≤ 𝒙 < 1

b)

-2 ≤ 𝒚 < 1

c)

-3 ≤ 𝒙 < 4

d)

-3 < 𝒙 ≤ 4

19.

If the blue function is f(x)=x², then the red function must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

20.

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

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.

21.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

22.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

23.

Describe the transformation that occurred

h(x) = 1/5f(x)

a)

Up 5 Units

b)

vertical compression

c)

vertical stretch

d)

Down 5 Units

24.

vertical stretch, translation left 3

a)

½f(x + 3)

b)

4f(x - 3)

c)

4f(x) + 3

d)

4f(x + 3)

25.

Which of the following represents a translation 5 units up from the parent quadratic function?

a)

y = x² - 5

b)

y = x² + 5

c)

y = (x - 5)²

d)

y = (x + 5)²

ADV U1 Test Review

Total questions: 25

Worksheet time: 23mins

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