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Basic Info on Functions

Total questions: 15

Worksheet time: 12mins

Name
Class
Date
1.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
2.
Is this is a function or not a function?
a)
Function
b)
Not a Function
3.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
4.

Which graph does not represent a function?

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

What function is this graph representing?

a)

f(x)=xf\left(x\right)=x^{ }  

b)

f(x)=xf\left(x\right)=\sqrt[]{x}  

c)

f(x)=xf\left(x\right)=\left|x\right|  

d)

f(x)=xf\left(x\right)=\sqrt[]{\left|x\right|}  

6.

Which pair of functions are the same function?

a)

f(x)=x2 f\left(x\right)=\sqrt[]{x^2}\   and g(x)=xg\left(x\right)=\left|x\right|  

b)

f(x)=x2f\left(x\right)=x-2  and g(x)=x24x+4x2g\left(x\right)=\frac{x^2-4x+4}{x-2}  

c)

f(x)=2xf\left(x\right)=2^x  and g(x)=log2xg\left(x\right)=\log_2x  

d)

f(x)=x1x+1f\left(x\right)=\frac{x-1}{x+1}  and g(x)=11x+1g\left(x\right)=1-\frac{1}{x+1}  

7.

Find the gradient of line.

a)

3-3

b)

33

c)

13-\frac{1}{3}

d)

13\frac{1}{3}

8.

Which of these represents point-gradient form of a linear equation?

a)

xx1=m(yy1)x-x_1=m(y-y_1)  

b)

Ax+By=CAx+By=C  

c)

y=mx+by=mx+b  

d)

yy1=m(xx1)y-y_1=m(x-x_1)  

9.

Line 1 passes through (15,20),(17,18)(15,20),(17,18)  

Line 2 passes through (22,18),(20,16)(-22,-18),(-20,-16)  

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Same line

10.

Which line is parallel to y=74xy=7-4x  ?

a)

4y+16x=74y+16x=7  

b)

y4x=7y-4x=7  

c)

y=7x+4y=-7x+4  

d)

4x=10+7y4x=10+7y  

11.

What is the vertex of this function?

f(x)=(x4)2+3f\left(x\right)=\left(x-4\right)^2+3  

a)

(-4,3)

b)

(4,3)

c)

(-4,-3)

d)

(4,-3)

12.

How many zeros does this function have?

a)

1

b)

2

c)

3

d)

4

13.
What is the domain of the graph?
a)
{-4, 0, 2, 4}
b)
{-5, -4, -3, -1}
c)
{-5, -4, -3, -1, 0, 2, 4}
d)

[5,1]\left[-5,-1\right]  

14.

What is the range?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

[3, )\left[-3,\ \infty\right)  

15.

Write the domain of f(x)=xx216f\left(x\right)=\frac{x}{x^2-16}  

a)

  {x4}\left\{x\ne4\right\}  

b)

  {x>8}\left\{x>8\right\}  

c)

  {x16}\left\{x\ne16\right\}  

d)

{x4, 4}\left\{x\ne-4,\ 4\right\}