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Worksheets

Functions Review_2

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Which type of function is f(x)=34x+43f\left(x\right)=\frac{3}{4}x+\frac{4}{3}  ?

a)

linear

b)

quadratic

c)

rational

d)

radical

2.

Which type of function is y=7x7y=\sqrt[]{7x-7}  ?

a)

exponential

b)

quadratic

c)

rational

d)

radical

3.

Which of these is an exponential function?

a)

y=6x+36y=6x+3^6  

b)

y=x3+63y=x^3+6^3  

c)

y=3x+63y=3^x+6^3  

d)

y=6x2+3xy=6x^2+3x  

4.

Which of these functions does NOT have {xR}\left\{x\in R\right\}  as their domain?

a)

y=4x7y=4x-7  

b)

y=4x27x+3y=4x^2-7x+3  

c)

y=4x7y=4^x-7  

d)

y=4x7y=\frac{4}{x-7}  

5.

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}  

6.

The range 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}  

7.

What is the range of the function y=2x2+4x+2y=-2x^2+4x+2  ?

a)

(,4]\left(-\infty,4\right]   

b)

(,1]\left(-\infty,1\right]  

c)

[4,)\left[4,\infty\right)  

d)

[1,)\left[1,\infty\right)  

8.

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  

9.

Which of these functions has a domain of xRx\in R  and a range of y5?y\ge5?  

a)

y=x2+4x+9y=x^2+4x+9

b)

y=4x5y=4^x-5  

c)

y=4x+5y=-4^x+5  

d)

y=x26x4y=-x^2-6x-4  

10.

What is the domain of the function y=x+8x4?y=\sqrt[]{\frac{x+8}{x-4}}?  

a)

(,8)[4,)\left(-\infty,-8\right)\cup\left[4,\infty\right)  

b)

(,8][4,)\left(-\infty,-8\right]\cup\left[4,\infty\right)  

c)

(,8)(4,)\left(-\infty,-8\right)\cup\left(4,\infty\right)  

d)

(,8](4,)\left(-\infty,-8\right]\cup\left(4,\infty\right)