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Worksheets

Function Properties

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What is the minimum of this graph?

(a)  

2.

The zeros of this function are...

a)

0,2

b)

(0,0) and (2,0)

c)

[0,0] and [0,2]

d)

x=1

e)

(0,0) and (0,2)

3.

What is the y-intercept of the graph?

(a)  

4.

Which of the following is the range of the given graphed function in interval notation?

a)

R:(-1, \infty  )

b)

D:(-1, \infty  )

c)

R:(-1, \infty  )

d)

D:[-1, \infty  )

e)

R:[-1, \infty  )

5.

Determine the end behavior of the graph.
There are arrows.

a)

As x→ -∞, y→ +∞
As x→ +∞, y→ +∞

b)

As x→ -∞, y→ -∞
As x→ +∞, y→ -∞

c)

As x→ -∞, y→ -∞
As x→ +∞, y→ +∞

d)

As x→ -∞, y→ +∞
As x→ +∞, y→ -∞

6.

What is the End behavior on the left side

a)

x →-∞, y→∞

b)

x →∞, y→-∞

c)

x →-∞, y→-∞

d)

x →∞, y→∞

7.

What is the End behavior on the left side

a)

x →-∞, y→∞

b)

x →-∞, y→-∞

c)

x →∞, y→∞

d)

x →∞, y→∞

8.

What is the End behavior on the right side

a)

 x→∞, y→∞

b)

 x→⁻∞, y→∞

c)

 x→⁻∞, y→0

d)

 x→∞, y→⁻∞

9.

What is the end behavior of the function

a)

as x →⁻∞,y→⁻∞, as x →∞, y→⁻∞

b)

as x→⁻∞, y→∞, as x →∞, y→∞

c)

as x→⁻∞, y→0, as x →∞, y→∞

d)

as x→⁻∞, y→⁻∞, as x →∞,y→∞

10.

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

11.

What are all the x-intercepts?

a)

(-2.55, 0), (2.55, 0)

b)

(-3,0), (-2,0), (2,0), (3,0)

c)

(0, 36)

d)

(-∞,∞)

12.

What are the extrema of the graph?

a)

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

b)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

c)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

d)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

13.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

14.

When is this function increasing?

a)

−2.5 < x < 2.5

b)

0 < x < 5

c)

0 < x < 55

d)

−5 < x < 0

15.

Over what interval is this function constant?

a)

−5 < x < ∞

b)

−3 < x < 4

c)

4 < x < ∞

d)

−5