Incr/Decr Intervals, End Behaviors, Graphs, Solutions Quadratics

Identify the intervals on which the function increases or decreases.

increasing on the interval ​ (a)  

constant on the interval ​ (b)  

decreasing on the interval ​ (c)  

• (-∞, -1]
• [-1, 4]
• [4, ∞)
• (-∞, 4]
• [-1, ∞)
• N/A
• (-∞, ∞)
• (-∞, 3]
• [3, ∞)

Describe the end behavior of the function shown in the graph.

e

f

∞

2

-1

3

-2

0

1

-∞

Identify the intervals on which each function increases or decreases.

Describe the end behavior of each function.

Increasing Interval(s): ​ (a)  

Decreasing Interval(s): ​ (b)  

As x→∞, f(x)→ ​ (c)  

As x→​ (d)   , f(x) →​ ∞

• [2, ∞)
• (-∞, 2]
• ∞
• (-∞, -1]
• [-1, ∞)
• 0
• (2, -5)
• 2
• -5
• -∞

Identify the intervals on which each function increases or decreases.

Describe the end behavior of each function.

Increasing Interval(s): ​ (a)  

Decreasing Interval(s): ​ (b)  

As x→​ (c)   , f(x)→ ​ -∞

As x→-∞, f(x) → ​ (d)  

• (-∞, -5]
• [-5, ∞)
• ∞
• -∞
• (-∞, 6]
• [6, ∞)
• 0
• (-5, 6)
• 6
• -5

Identify the intervals on which each function increases or decreases.

Describe the end behavior of each function.

Increasing Interval(s): ​ (a)  

Decreasing Interval(s): ​ (b)  

As x→​ (c)   , f(x)→ ​ -∞

As x→-∞, f(x) → ​ (d)  

• (-∞, -5]
• [-5, ∞)
• ∞
• (-∞, 5]
• [5, ∞)
• 0
• (-5, 5)
• 5
• -5
• -∞

The solutions to a quadratic equation are the points at which the function intersects the __________.

Select all that apply.

The solutions are also referred to as:

• zeros

• roots

• x-intercepts

• y-intercepts

• asymptotes

Match the following graphs with the number of solutions

• No Real Solutions

• 
• 2 Real Solutions

• 
• 1 Real Solution

• 

Graph the function

f(x) = x² − 9

on the provided grid.

Graph the function

f(x) = -x² − 10x − 25

on the provided grid.