Key Features of Linear Functions

Multiple Choice

Given $$h\left(x\right)=3x^2-2x+8$$ , what is $$h\left(2\right)$$ ?

• 16

• 18

• 20

• 22

Key Features of Linear Functions

Objective: to graph linear functions on the coordinate plane by identifying and analyzing key features, including the x-intercept, y-intercept, and zeros.

Essential Question: How can you can you graph linear functions and its key features?

Multiple Choice

For the function $$f\left(x\right)=5x-12$$ , what is $$f\left(-4\right)$$ ?

• -32

• -20

• -12

• -8

Multiple Choice

Is the graph shown a function?

• Yes

• No

Draw

What are the similarities and differences between the following graphs: (name as many as you can)

Multiple Select

Select the Domain and Range of the image below?

• $$0\le x\le1250$$

• $$10\le x\le110$$

• $$10\le y<110$$

• $$0\le y\le1250$$

• {0,62.5,125,...}

Hotspot

Select the Maximum of the graph

Hotspot

Select the Minimum of the graph

Hotspot

Select the y-intercept of the graph

Labelling

Label the minimum, and maximum

Drag labels to their correct position on the image

Minimum

Maximum

Drag and Drop

The Domain is ​

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The Range is ​

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Drag these tiles and drop them in the correct blank above

Domain

Range

Drag and Drop

The Independent Variable is ​ ​ ​

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The Dependent Variable is​ ​

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The Domain of the function is​

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The Range of the Function is​

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Drag these tiles and drop them in the correct blank above

Time (Minutes)

Depth of Bath Water (Inches)

Drag and Drop

The Function is ​

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because the points in the graph ​

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. The y-intercept is at ​

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and the x-intercepts are at ​

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and​

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Drag these tiles and drop them in the correct blank above

Continuous

Discrete

are connected

are NOT connected

(0,0)

(12,0)

Multiple Choice

True or False:

This graph has a zero at the point (3,0)

• True

• False

Multiple Choice

True or False:

This graph has a x-intercept at the point (0,0)

• True

• False

Multiple Choice

True or False:

This graph has a y-intercept at the point (0,0)

• True

• False

Draw

Exit Ticket:

Write the x and y intercepts for each graph