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Worksheets

Fundamentals of Functions

Total questions: 18

Worksheet time: 23mins

Name
Class
Date
1.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
2.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
3.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
4.

Which graph does NOT represent a function?

a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
5.

Is this a function?

a)

Yes

b)

No

c)

Let me ask my dog...

d)

Why are there letters in math?

6.

Is this a function?

a)

Yes

b)

No

c)

I'm Confused

d)

May I phone a friend?

7.
Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
8.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
9.

Which expression represents g(f(x)) if f(x) = 2x - 8 and g(x) = 4x

a)
8x - 32
b)
8x2 - 32x
c)
8x - 8
d)
6x - 8
10.

If f(x) = x2 and g(x) = 3x - 1, find f(g(x))

a)

9x2 - 6x + 1

b)

3x - 1

c)

3x2 - 1

d)

9x2 - 1

11.
Given f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
12.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
13.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
14.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
15.

For f(x) = 2x2 – 3x + 1 find f(-3) =

a)

-8

b)

28

c)

10

d)

16

16.
Solve by factoring:
x2 - 6x + 5 = 0
a)
-6, -1
b)
-5, -1 
c)
1, 6
d)
5, 1
17.
Solve by completing the square.
y2 + 10y = -9
a)
1 and -12
b)
-1 and -9
c)
1 and -9
d)
1 and -1
18.
Solve by completing the square:
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}