Module 20 Domain & Range of Quadratic Functions

What is the range of the function?

• All real values less than or equal to 3.

• All real values less than or equal to -1.

• All real values greater than or equal to 3.

• All real values greater than or equal to -1.

Tags

CCSS.HSF-IF.C.7A

What is the domain of the function?

• All real numbers between 1 and 3.

• All real numbers between 0 and 4.

• All real numbers.

• All real numbers between -1 and 6.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the following function?

f(x) = -2x² + 8x + 10

• y includes all real numbers.

• y values less than or equal to 18.

• x includes all real numbers.

• x values between -1 and 5.

What is the range of the following function?

f(x) = -2x² + 8x + 10

• y includes all real numbers.

• y values less than or equal to 18.

• x includes all real numbers.

• x values between -1 and 5.

The graph of f(x) = -2x² - 4x + 6 is shown.

What describes the range of f(x)?

• All real numbers between -3 and 1; or {y| -3 < y < 1}

• All real numbers less than or equal to 8; or {y| y < 8}

• All real numbers less than or equal to 6; or {y| y < 6}

• All real numbers; or {y| y $\in$ R }

Tags

CCSS.HSF-IF.C.7A

The graph of f(x) = -2x² - 4x + 6 is shown.

What describes the domain of f(x)?

• All real numbers between -3 and 1; or {x| -3 < x < 1}

• All real numbers less than or equal to 6; or {x| x < 6}

• All real numbers less than or equal to 8; or {x| x < 8}

• All real numbers; or {x| x $\in$ R }

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the function  $f\left(x\right)\ =\ x^2\ -2x\ -\ 8$  ?

• x includes all real numbers; or {x| x  $\in$  R }

• y includes all real numbers; or {y| y  $\in$  R }

• x values between -2 and 4; or {x| -2 < x < 4 }

• y values greater than or equal to -9; or { y| y > -9 }

What is the range of the function f(x) = x² - 2x - 8 ?

• x includes all real numbers; or {x| x $\in$ R }

• y includes all real numbers; or {y| y $\in$ R }

• x values between -2 and 4; or {x| -2 < x < 4 }

• y values greater than or equal to -9; or { y| y > -9 }

Isaiah uses a horizontal line at the vertex and an arrow to help him correctly find the range of a quadratic. Which answer did Isaiah write?

• The range is all y values greater than or equal to 1; or { y| y > 1}

• The range is all y values less than or equal to 1; or { y| y < 1}

• The range is all y values greater than or equal to -3; or { y| y > -3}

• The range is all y values less than or equal to -3; or { y| y < -3}

Tags

CCSS.HSF-IF.C.7A

Amarion uses a horizontal line at the vertex and a highlighter to help him correctly find the range of a quadratic. Which answer did Amarion write?

• The range is all y values less than or equal to 8; or { y| y < 8}

• The range is all y values greater than or equal to 8; or { y| y > 8}

• The range is all x values less than or equal to 8; or { x| x < 8}

• The range is all x values greater than or equal to 8; or { x| x > 8}

Tags

CCSS.HSF-IF.C.7A