Quadratic Inequalities

Solve the inequality:

 $g\left(x\right)<0$  

•  $\left(-1,4\right)$  

•  $\left(-\infty,-1\right)\cup\left(4,\infty\right)$  

•  $\left(-\infty,0\right)\cup\left(0,\infty\right)$  

•  $\left(-\infty,-1\right]\cup\left[4,\infty\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Solve the inequality:

 $g\left(x\right)\ge0$ 

Type your answer in interval notation. Don't insert spaces between characters.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Solve  $g\left(x\right)\ge f\left(x\right)$  

•  $\left(-\infty,-2\right)\cup\left(1,\infty\right)$  

•  $\left(-\infty,-2\right]\cup\left[1,\infty\right)$  

•  $\left(-2,1\right)$  

•  $\left[-2,1\right]$  

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Solve  $f\left(x\right)>g\left(x\right)$  

•  $\left(-\infty,-2\right)\cup\left(1,\infty\right)$  

•  $\left(-\infty,-2\right]\cup\left[1,\infty\right)$  

•  $\left(-2,1\right)$  

•  $\left[-2,1\right]$  

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Given the function

 $f\left(x\right)\ =\ x^2-3x-10$ , find the x-intercepts. Check all that apply.

Note: The next few problems will use this function. You may want to record your answers.

• -5

• 5

• 2

• -2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Given the function

 $f\left(x\right)=\ x^2-3x-10$ , find the y-intercept. Enter your answer as an ordered pair.

Given the function

 $f\left(x\right)=\ x^2-3x-10$ , does the graph open up or down?

• Up
  

• Down
  

Tags

CCSS.HSA.REI.B.4

Given the function

 $f\left(x\right)=\ x^2-3x-10$ , find the vertex.

• (1.5, 12.25)
  

• (-1.5, -3.25)
  

• (1.5, -12.25)

• (1.5, 3.25)
  

Tags

CCSS.HSA.SSE.A.2

Given the function

 $f\left(x\right)=\ x^2-3x-10$ , what is the axis of symmetry?

• x = 1.5
  

• x = -1.5
  

• y = 1.5
  

• y = -12.25
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

Given the function

 $f\left(x\right)=\ x^2-3x-10$ , find  $f\left(x\right)>0$ .

•  $\left(-\infty,-2\right)\cup\left(5,\infty\right)$  
  

•  $\left(-2,5\right)$  
  

•  $\left(-\infty,-2\right]\cup\left[5,\infty\right)$  
  

•  $\left[-2,5\right]$  
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4