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Worksheets

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Total questions: 11

Worksheet time: 2hrs 50mins

Name
Class
Date
1.

What is the domain?

a)

(-3 , 3)

b)

[-4, 5]

c)

(-4, 5)

d)

(-3, 3]

2.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

3.

The set of all possible y-values is called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

4.

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

a)

( ) Parentheses

b)

[ ] Brackets

c)

{ } Braces

5.

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

6.

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

7.

f(x)=x2+1

g(x)=2x - 5

Find (f - g)(x)

a)

x2 - 2x + 6

b)

-x2 + 2x + 4

c)

-x2 - 2x - 6

d)

x2 + 2x - 4

8.

f(x)=6x2+3x+2f\left(x\right)=6x^2+3x+2   and g(x)=x7g\left(x\right)=x-7   Find 

(fg)(x)\left(f\cdot g\right)\left(x\right)  

a)

6x3 - 39x2 - 19x + 14

b)

6x3 - 39x2 - 21x - 14

c)

6x3 - 39x2 - 19x - 14

d)

6x3 - 45x2 - 19x + 14

9.

Let  f(x)=2x+5f\left(x\right)=2x+5  and  g(x)= x23x+2g\left(x\right)=\ x^2-3x+2  Find the DOMAIN of 

(gf)(x)\left(\frac{g}{f}\right)\left(x\right)  

a)

(, 52)(52, )\left(-\infty,\ \frac{5}{2}\right)\cup\left(\frac{5}{2},\ \infty\right)  

b)

(,)\left(-\infty,\infty\right)  

c)

(, 52)(52, )\left(-\infty,\ -\frac{5}{2}\right)\cup\left(-\frac{5}{2},\ \infty\right)  

d)

(, 52][52, ]\left(-\infty,\ -\frac{5}{2}\right]\cup\left[-\frac{5}{2},\ \infty\right]  

10.

What is the range of the graph?

a)

(-∞, ∞)

b)

[-15,∞)

c)

[-3 , 3]

d)

[-15, 9]

11.

Find the domain of y=x2+5y=\left|x-2\right|+5

a)

(, )\left(-\infty,\ \infty\right)

b)

[2, 5]

c)

[5, )\left[5,\ \infty\right)

d)

[2, )\left[2,\ \infty\right)