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Math 3 Unit 1 Extra Credit Opportunity

Total questions: 25

Worksheet time: 26mins

Name
Class
Date
1.

Factor: 2x2+7x +62x^2+7x\ +6  

a)

(2x+3)(x+2)\left(2x+3\right)\left(x+2\right)  

b)

(x+4)(x+3)\left(x+4\right)\left(x+3\right)  

c)

(x+2)(x+6)\left(x+2\right)\left(x+6\right)  

d)

(x+1)(x+6)\left(x+1\right)\left(x+6\right)  

2.

Factor: 5x315x2+4x 125x^3-15x^2+4x\ -12  

a)

5x(x3)5x\left(x-3\right)  

b)

(5x2+4)(x3)\left(5x^2+4\right)\left(x-3\right)  

c)

5(x33x2)+4(x3)5\left(x^3-3x^2\right)+4\left(x-3\right)  

d)

5x(x23x)+2(2x6)5x\left(x^2-3x\right)+2\left(2x-6\right)  

3.

Factor and Solve: 2x2+9x +10 = 02x^2+9x\ +10\ =\ 0  

a)

x = 4, x = 5x\ =\ -4,\ x\ =\ -5  

b)

x = 2, x = 52x\ =\ -2,\ x\ =\ -\frac{5}{2}  

c)

x = 10x\ =\ -10  

d)

x = 20, x = 1x\ =\ 20,\ x\ =\ -1  

4.

Factor and Solve: (3x+4)(x  5)= 0\left(3x+4\right)\left(x\ -\ 5\right)=\ 0  

a)

x = 0, x = 5x\ =\ 0,\ x\ =\ -5  

b)

x = 4x\ =\ -4  

c)

x = 43, x = 5x\ =\ -\frac{4}{3},\ x\ =\ 5  

d)

x=5x=5  

5.

Describe the transformation from the parent absolute value function:

y=x5y=\left|x\right|-5  

a)

Shift up 5 units

b)

Shift down 5 units

c)

Shift right 5 units

d)

Shift left 5 units

6.

Describe the transformation from the parent square root function:

y=x+4y=\sqrt[]{x+4}  

a)

Shift up 4 units

b)

Shift down 4 units

c)

Shift right 4 units

d)

Shift left 4 units

7.

Describe the transformation from the parent square root function:

y=2 x5y=2\ \sqrt[]{x-5}  

* Select TWO answers *

a)

Vertical stretch

b)

Vertical compression

c)

Translation 5 units right

d)

Translation 5 units left

8.

Describe the transformation from the parent absolute value function:

y=x+43y=-\left|x+4\right|-3  

* Select THREE answers *

a)

Reflection over the x-axis

b)

Translation 4 units left

c)

Translation 4 units up

d)

Translation 3 units left

e)

Translation 3 units down

9.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

10.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

11.

Find the value of g(3)g\left(3\right) .

a)

10-10  

b)

22  

c)

4-4  

d)

13-\frac{1}{3}  

12.
The inverse has been reflected over which line?
a)
y = x
b)
x = 0
c)
y = 0
d)
x = -y
13.

Which of the following best describes the graph?

a)

They are both functions, but not inverse functions.

b)

They are reflected over y=x, but they are not both functions.

c)

They are not reflected over y=x, and they are not both functions.

d)

They are inverse functions.

14.

Which graph represents f-1(x) over the same domain?

a)
b)
c)
d)
15.

f(x) = -4x - 12

What is f-1(x)?

a)

f-1(x) = 4x - 3

b)

f-1(x) = -1/4x - 3

c)

f-1(x) = 1/4x + 3

d)

f-1(x) = -4x - 3

16.

Which is f -1(x)?

a)

f -1(x) = 5x + 3

b)

f -1(x) = 5x - 3

c)

f -1(x) = 5x - 15

d)

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

17.

What is the RANGE of this graph?

a)

-7 < x < 5

b)

-7 ≤ y < 5

c)

-3 < x < 1

d)

-3 ≤ y < 1

18.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

19.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

20.

What is the range?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

None of the answer choices

e)

[3, )\left[-3,\ \infty\right)  

21.

The set of all y-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

22.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

23.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

24.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

25.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function