Solve the inequality: g ( x ) < 0 g\left(x\right)<0 g ( x ) < 0

( − ∞ , − 1 ) ∪ ( 4 , ∞ ) \left(-\infty,-1\right)\cup\left(4,\infty\right) ( − ∞ , − 1 ) ∪ ( 4 , ∞ )

( − 1 , 4 ) \left(-1,4\right) ( − 1 , 4 )

( − ∞ , 0 ) ∪ ( 0 , ∞ ) \left(-\infty,0\right)\cup\left(0,\infty\right) ( − ∞ , 0 ) ∪ ( 0 , ∞ )

( − ∞ , − 1 ] ∪ [ 4 , ∞ ) \left(-\infty,-1\right]\cup\left[4,\infty\right) ( − ∞ , − 1 ] ∪ [ 4 , ∞ )

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

[ − 2 , 1 ] \left[-2,1\right] [ − 2 , 1 ]

( − ∞ , − 2 ) ∪ ( 1 , ∞ ) \left(-\infty,-2\right)\cup\left(1,\infty\right) ( − ∞ , − 2 ) ∪ ( 1 , ∞ )

( − ∞ , − 2 ] ∪ [ 1 , ∞ ) \left(-\infty,-2\right]\cup\left[1,\infty\right) ( − ∞ , − 2 ] ∪ [ 1 , ∞ )

( − 2 , 1 ) \left(-2,1\right) ( − 2 , 1 )

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

( − ∞ , − 2 ) ∪ ( 1 , ∞ ) \left(-\infty,-2\right)\cup\left(1,\infty\right) ( − ∞ , − 2 ) ∪ ( 1 , ∞ )

( − ∞ , − 2 ] ∪ [ 1 , ∞ ) \left(-\infty,-2\right]\cup\left[1,\infty\right) ( − ∞ , − 2 ] ∪ [ 1 , ∞ )

( − 2 , 1 ) \left(-2,1\right) ( − 2 , 1 )

[ − 2 , 1 ] \left[-2,1\right] [ − 2 , 1 ]

Quadratic Inequalities

Authored by Sarah Singleton

Mathematics

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Solve the inequality:
$g\left(x\right)\ge0$

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

(a)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.REI.D.10

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.REI.C.7

MULTIPLE SELECT QUESTION

2 mins • 1 pt

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

-2

Tags

CCSS.HSF-IF.C.7A

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

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

(a)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

Down

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.HSF-IF.C.7A

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

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Quadratic Inequalities

Solve the inequality: g(x)<0g\left(x\right)<0g(x)<0

Solve the inequality: g(x)≥0g\left(x\right)\ge0g(x)≥0 Type your answer in interval notation. Don't insert spaces between characters. (a)

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

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

Given the function f(x) = x2−3x−10f\left(x\right)\ =\ x^2-3x-10f(x) = x2−3x−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.

Given the function f(x)= x2−3x−10f\left(x\right)=\ x^2-3x-10f(x)= x2−3x−10 , find the y-intercept. Enter your answer as an ordered pair. (a)

Given the function f(x)= x2−3x−10f\left(x\right)=\ x^2-3x-10f(x)= x2−3x−10 , does the graph open up or down?

Given the function f(x)= x2−3x−10f\left(x\right)=\ x^2-3x-10f(x)= x2−3x−10 , find the vertex.

Given the function f(x)= x2−3x−10f\left(x\right)=\ x^2-3x-10f(x)= x2−3x−10 , what is the axis of symmetry?

Given the function f(x)= x2−3x−10f\left(x\right)=\ x^2-3x-10f(x)= x2−3x−10 , find f(x)>0f\left(x\right)>0f(x)>0 .

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Discover more resources for Mathematics

Solve the inequality:
$g\left(x\right)<0$

Solve the inequality:
$g\left(x\right)\ge0$

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

(a)

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

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

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.

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

(a)

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

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

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

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