Relations & Functions

Select the relation shown in the graph.

• {(-2, 2), (1, -2), (2, 2), (3, 3)}

• {(-2, 2), (1, 2), (2, -2), (3, 3)}

• {(-2, -2), (1, 2), (2, 2), (3, 3)}

• {(-2, -2), (-1, 2), (2, 2), (3, 3)}

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Identify the domain of the following relation.

{(2, 3), (1, -2), (4, 5), (2, 1)}

• D = {1, 2, 2, 4}

• D = {1, 2, 4}

• D = {-2, 1, 3, 5}

• D = {-2, 1, 2, 3}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Identify the range of the following relation.

{(2, 3), (1, -2), (4, 5), (2, 1)}

• R = {1, 2, 2, 4}

• R = {1, 2, 4}

• R = {-2, 1, 3, 5}

• R = {-2, 1, 2, 3}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

The graph shows an airplane's distance from the ground over time. Select ALL true statements.

• The independent variable is time in hours.

• The independent variable is distance above the ground.

• The dependent variable is time in hours.

• The dependent variable is distance above the ground.

• The plane's distance from the ground increases, then remains constant, then decreases.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following are functions? Select all that apply.

• {(1, 3), (2, 4), (3, 6), (5, 7)}

• {(4, 2), (6, 3), (4, 7), (5, 1)}

• 
• 
• 

Tags

CCSS.HSF.IF.A.1

Which of the following are functions? Select all that apply.

• 
• 
• 
• 
• 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

If $f\left(x\right)=\frac{3}{4}x-9$  and  $g\left(x\right)=x^2+x$  find  $f\left(20\right)$  . 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

If $f\left(x\right)=\frac{3}{4}x-9$  and  $g\left(x\right)=x^2+x$  find  $g\left(3\right)$  . 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Is the function continuous, discrete, or neither? Explain.

• Discrete; because the function is not graphed with a single line or curve, it is discrete.

• Neither; because the function is not graphed with a single line or curve, it is neither continuous nor discrete.

• Discrete; because the function is made up of individual segments and rays, it is discrete.

• Neither; because the function has continuous sections but is not a single line or curve, it is neither continuous nor discrete.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is the function continuous, discrete, or neither? Explain.

• Continuous; because the function is made up entirely of individual points, it is continuous.

• Discrete; because the function is not graphed with a single line or curve, it is discrete.

• Discrete; because the function is made up entirely of individual points, it is discrete.

• Continuous; because the individual points could be connected with a single curve, the function is continuous.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7