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EVALUATION, OPERATION AND COMPOSITION OF FUNCTIONS

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is your complete name?

4 lines
2.

What is your grade and section?

4 lines
3.

It is the set of values of x for which f is defined.

a)

domain of the function

b)

range of the function

c)

function

d)

relation

4.

The concept of evaluation of functions is the concept of what?

a)

distribution

b)

association

c)

substitution

d)

commutative

5.

If f(x) = 3x 8f\left(x\right)\ =\ 3x\ -8  , find f(3)

a)

1

b)

-1

c)

17

d)

-17

6.

If f(x) = 3x 8f\left(x\right)\ =\ 3x\ -8  , find f(3)

a)

1

b)

-1

c)

17

d)

-17

7.

If f(x) = x2 +9f\left(x\right)\ =\ x^{2\ }+9  , find the value of f(-2).

a)

5

b)

-5

c)

13

d)

-13

8.

Given g(x) = 3x2 +9x 10g\left(x\right)\ =\ 3x^{2\ }+9x\ -10  , solve for the value of g(-1). (NOTE: Write the value only)

(a)  

9.

The function is _____ if and only if f(x) =f(x)f\left(-x\right)\ =-f\left(x\right)  for all x in the domain of f.

a)

negative

b)

positive

c)

odd

d)

even

10.

The function is considered _____ if f(x) = f(x)f\left(-x\right)\ =\ f\left(x\right)  for all x in the domain of f.

a)

negative

b)

positive

c)

odd

d)

even

11.

Given f(x) = 5x 1f\left(x\right)\ =\ 5x\ -1  and g(x) = 3x + 13g\left(x\right)\ =\ 3x\ +\ 13  , find the value of (f+g)(x).

a)

8x - 12

b)

8x + 12

c)

8x + 14

d)

8x - 14

12.

Given f(x) = 5x 1f\left(x\right)\ =\ 5x\ -1  and g(x) = 3x + 13g\left(x\right)\ =\ 3x\ +\ 13  , find the value of (f-g)(x).

a)

2x - 12

b)

2x + 12

c)

2x + 14

d)

2x - 14

13.

If f(x) = x2f\left(x\right)\ =\ x^2  and g(x) = 5x + 1g\left(x\right)\ =\ 5x\ +\ 1  , what is (fg)(x)?

a)

x3  5xx^{3\ }-\ 5x  

b)

5x3 +x25x^{3\ }+x^2  

c)

5x3 + 15x^{3\ }+\ 1  

d)

x2 +5x+1x^{2\ }+5x+1  

14.

Given f(x) = x2 +5x+4f\left(x\right)\ =\ x^{2\ }+5x+4  and h(x) = x+4h\left(x\right)\ =\ x+4  , what is (fh)(x)\left(\frac{f}{h}\right)\left(x\right)  

a)

x+4

b)

x-1

c)

x+1

d)

x-4

15.

What does G in GEMDAS Mean?

a)

grouping symbols

b)

gamma symbol

c)

geometric symbols

d)

graphing symbols

16.

What does L in FOIL Mean?

a)

lateral

b)

last

c)

limit

d)

least

17.

What does L in FOIL Mean?

a)

lateral

b)

last

c)

limit

d)

least

18.

If f(x) = x2f\left(x\right)\ =\ x^2  and g(x) = x +1g\left(x\right)\ =\ x\ +1  , what is (g f)(x)\left(g\ \circ f\right)\left(x\right)  ?

a)

x2 +1x^{2\ }+1  

b)

x2 +2x+1x^{2\ }+2x+1  

c)

x2 1x^{2\ }-1  

d)

x2 2x+1x^{2\ }-2x+1  

19.

If f(x) = x2f\left(x\right)\ =\ x^2  and g(x) = x +1g\left(x\right)\ =\ x\ +1  , what is (f g)(x)\left(f\ \circ g\right)\left(x\right)  ?

a)

x2 +1x^{2\ }+1  

b)

x2 +2x+1x^{2\ }+2x+1  

c)

x2 1x^{2\ }-1  

d)

x2 2x+1x^{2\ }-2x+1  

20.

If f(x) = x2f\left(x\right)\ =\ x^2  and g(x) = x +1g\left(x\right)\ =\ x\ +1  , what is (f f)(x)\left(f\ \circ f\right)\left(x\right)  ?

a)

x2 +1x^{2\ }+1  

b)

x2 +2x+1x^{2\ }+2x+1  

c)

x4x^4  

d)

x4+1x^4+1