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11GENMATH First Quarter Exam Review

Total questions: 20

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

Is the following a function?

a)

Yes, this is a function.

b)

No, it's not a function.

c)

Can't be determined with this information.

2.

Is the following graph a function?

a)

Yes, because the x never repeats.

b)

Yes, because they are individual dots.

c)

No, because the x repeats.

d)

No, because it is not a line.

3.

Given f(x)=3x+9f\left(x\right)=3x+9  , find f(4)f\left(-4\right)  .

a)

3-3  

b)

2121  

c)

88  

d)

12-12  

4.

If g(x)=3x25g\left(x\right)=3x^2-5  , what is the value of g(2)g\left(-2\right)  ?

a)

11-11  

b)

17-17  

c)

77  

d)

11  

5.

If f(x)=12(x+5)3f\left(x\right)=\frac{1}{2}\left(x+5\right)-3  , find f(9)f\left(-9\right)  .

a)

44  

b)

5-5  

c)

10-10  

d)

88  

6.

If f(x)=3x2+7xf(x)=3x^2+7x  and g(x)=2x2x1g(x)=2x^2-x-1 ,

find (f+g)(x)(f+g)(x) .

a)

11x2111x^2-1  

b)

5x4+6x215x^4+6x^2-1  

c)

5x2+6x15x^2+6x-1  

d)

5x2+8x15x^2+8x-1  

7.

If f(x)=x2+9f(x)=x^2+9  and g(x)=x9g(x)=x-9 ,

Find f(x)g(x)f(x)-g(x)

a)

x2+x+9x^2+x+9  

b)

x2x+9x^2-x+9  

c)

x2xx^2-x  

d)

x2x+18x^2-x+18  

8.

If f(x)=4x+1f(x)=4x+1 and g(x)=4x3g(x)=4x-3  

Find f(x)g(x)f(x)*g(x)  

a)

16x2+8x316x^2+8x-3  

b)

16x28x+316x^2-8x+3  

c)

16x28x316x^2-8x-3  

d)

16x216x316x^2-16x-3

9.

If f(x)=2xf\left(x\right)=2x   and  g(x)=2x21g\left(x\right)=2x^2-1   find g(f(1))g\left(f\left(-1\right)\right)  

a)

2

b)

15

c)

7

d)

-9

10.

If f(x)=1xf\left(x\right)=\frac{1}{x}   and  g(x)=3x+2g\left(x\right)=3x+2   find (fg)(2)\left(f\circ g\right)\left(2\right)  

a)

14\frac{1}{4}  

b)

18\frac{1}{8}  

c)

72\frac{7}{2}  

d)

8

11.

If f(x)=x2f\left(x\right)=x^2   and  g(x)=xg\left(x\right)=\sqrt{x}   find g(f(x))g\left(f\left(x\right)\right)  

a)

x4x^4  

b)

xx  

c)

x\sqrt[]{x}  

d)

x2x^2  

12.
The inverse of the function f(x) is written as ...
a)
f -1(x)
b)
f 2(x)
c)
f '(x)
d)
f +(x)
13.

f(x)=3x+107f\left(x\right)=\frac{3x+10}{7}  
Find  f1(x)f^{-1}\left(x\right)  

a)

7x1037x-\frac{10}{3}  

b)

7x310\frac{7x}{3}-10  

c)

7(x10)3\frac{7\left(x-10\right)}{3}  

d)

7x103\frac{7x-10}{3}  

14.

The domain of the function y=3x+44x3y=\frac{3x+4}{4x-3}   is all real numbers except

a)

  43\frac{4}{3}  

b)

43-\frac{4}{3}  

c)

34\frac{3}{4}  

d)

34-\frac{3}{4}  

15.

What is the domain of the function y=8x16?y=-\sqrt[]{8x-16}?  

a)

xRx\in R  \ 2-2  

b)

x2x\ge-2  

c)

x2x\le-2  

d)

x2x\ne-2  

16.

y=x2+3x+9y=x^2+3x+9  

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

17.

y=12x7+6x58x3+4xy=12x^7+6x^5-8x^3+4x  

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

18.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

19.

Find g(4).

a)

11

b)

-11

c)

5   

d)

-5

20.

Find f(4)

a)

4

b)

0

c)

-4

d)

1