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Quiz-3

Total questions: 27

Worksheet time: 50mins

Name
Class
Date
1.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

0 ≤ x ≤ 6

d)

-6 ≤ x ≤ 6

2.

What is the Domain of this linear function?

a)

6x6-6\le x\le6

b)

0y60\le y\le6

c)

0y60\le y\le6

d)

6y6-6\le y\le6

3.

What is the range of this relation?

a)
All Real Numbers
b)
-1 ≤ x ≤ 1
c)
-1 ≤ f(x) ≤ 1
d)
1 ≥ x
4.

What is the domain?

a)

x≥0

b)

x>0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

5.

Is this a function ?

a)
Function
b)
Not a Function
6.
What is the range of the function f(x)= x2 + 2 when the domain
is {-1, 0 , 1}?
a)
{1, 2, 3}
b)
{2, 3}
c)
{0, 2, 4}
d)
{1, 3}
7.

If f(x) = 2x + 5, find f(2a-1).

(a)  

8.

f(x) = x2 + ax  8x^2\ +\ ax\ -\ 8 . If f(-3) = 13, determine the value of a.

a)

12

b)

-12

c)

-4

d)

4

9.

If f(x) = 5x + 2, determine f(x+1) and simplify if possible.

a)

5x+7

b)

5x+3

c)

5x2+25x^2+2  

10.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
11.

What is the relative maximum?

a)

(1,2)

b)

(2,2)

c)

(0,-2)

12.

What is the relative minimum?

a)

(1,2)

b)

(2,2)

c)

(0,-2)

d)

No relative minimum

13.

Identify all local minima

a)

(3.25, 2.25)\left(3.25,\ 2.25\right)  

b)

(2.25, 4.5)\left(2.25,\ 4.5\right)  

c)

(.5, 7.5)\left(-.5,\ -7.5\right)  

d)

(5,6)\left(5,6\right)  

14.

What is the absolute minimum?

a)

Does not existDoes\ not\ exist

b)

(3, 2)\left(-3,\ -2\right)

c)

(2, 0)\left(2,\ 0\right)

d)

(,)\left(-\infty,-\infty\right)

15.

Find the x-intercept(s) of the graph shown.

(Pick all answers that apply)

a)

(-3.3, 0)

b)

(5.6, 0)

c)

(-5, 0)

d)

(0, 4)

16.

Find the y-intercept(s) of the graph shown.

a)

(-3.3, 0)

b)

(5.6, 0)

c)

(-5, 0)

d)

(0, 4)

17.

Find the interval(s) of increase of the graph shown.

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

18.

Find the interval(s) of decrease of the graph shown.

(There is more than one answer)

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

19.

Find the interval(s) where the graph remains constant.

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

20.
What are the zeros?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
21.
How many roots does the function have?
a)
None
b)
1
c)
2
d)
3
22.
Over what interval(s) is f(x) increasing?
a)
(-∞, -3) ∪ (1, ∞)
b)
(-3, 1)
c)
(-5, 0) ∪ (2, ∞)
d)
(-5, ∞)
23.

At what x-value does f(x) have the absolute minimum?

a)

x = -1.54

b)

x = .63

c)

x = -2.11

d)

The function has no absolute min

24.

What are the zeros of f(x)=2x26f\left(x\right)=2\left|x-2\right|-6 ?

a)

x=4,x=3

b)

x=3,x=0

c)

x=5,x=-1

d)

x=3,x=-1

25.

Find the y-intercept of f(x)=x13+5f\left(x\right)=-\left|x-13\right|+5

a)

(0,18)

b)

(18,0)

c)

(0,-8)

d)

(-8,0)

26.

What are the intervals of increase and decrease ?

a)

Interval of increase:

(-∞,2)U(2,∞)

Interval of decrease: DNE

b)

Interval of decrease:

(-∞,2)U(2,∞)

Interval of increase: DNE

c)

Interval of increase:

(-∞,1)U(1,∞)

Interval of decrease: DNE

d)

Interval of decrease:

(-∞,1)U(1,∞)

Interval of increase: DNE

27.

Find the Intervals of increase and decrease

a)

Interval of increase: DNE

Interval of decrease:

(-∞,∞)

b)

Interval of increase: DNE

Interval of decrease:

(-∞,0)

c)

Interval of increase: DNE

Interval of decrease:

(0,∞)

d)

Interval of decrease: DNE

Interval of increase:

(-∞,0)