2.8 Solving Inequalities Recap

What are the x-intercepts of the function?

 $\left(2x+1\right)^{2\ }\left(x-3\right)\left(x^2+5\right)$  

• -1/2, 3, -5 

• -1/2, 3 

• -1/2, 3, 0

• -1/2, 3, 5i, -5i 

Tags

CCSS.HSF-IF.C.7C

Make a sign chart for the following function. Where is the function positive? 

 $\left(2x+1\right)^{2\ }\left(x-3\right)\left(x^2+5\right)$  

• (3, infinity) 

• (-infinity, 3) 

• (-infinity, -1/2) U (3, infinity) 

• [ 3, infinity) 

• (- infinity, -1/2] 

Tags

CCSS.HSA.APR.B.3

Make a sign chart for the following function. Where is the function negative? 

 $\left(2x+1\right)^{2\ }\left(x-3\right)\left(x^2+5\right)$  

• (-1/2, 3) 

• (-infinity, 3) 

• (-infinity, -1/2) U (-1/2, 3) 

• (- infinity, 3] 

• (- infinity, -1/2] U [3, infinity) 

Tags

CCSS.HSA.APR.B.3

Where are the x-intercepts?

• -8

• -8, -3, 4

• -3, 4

• -8 and 0

Tags

CCSS.HSF-IF.C.7D

Where is the function UNDEFINED?

• {-3} U {4}

• (-8, infinity)

• (-8, infinity) U {-3} U {4}

• (-infinity, -8) U {-3} U {4}

Make a sign chart. Where is the function Positive?

• [4, infinity)

• (4, infinity)

• (-8, -3) U (-3, 4)

• (-8, -3) U (4, infinity)

Make a sign chart. Find the interval where

 $f\left(x\right)\le0$  

• (-8, -3) U (4, infinity) 

• [-8, 4) 

• [-8, -3) U (-3, 4)

• (-8, -3) U (-3, 4)