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3 years ago

Given the following linear function, sketch the graph of the function and find the domain and range.

Mathematics

1 answer:

e-lub [12.9K]3 years ago

4 0

Answer:

There don't seem to be any limits/asymptotes to the function.

Domain = (-∞ , ∞ ), {x|x ∈ R }
Range = (-∞ , ∞ ), {x|x ∈ R }

The graph would look something similar to this:

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Liz and Sara are making cookies for a bake sale. The graph shows the number of cookies that Liz bakes during a 5-hour period.

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Statements

case A) Sara had baked more cookies at the start of the $5$ hours than Liz

The statement is True

we know that

At the start of the $5$ hours Liz has baked $220$ cookies-----> see the graph

Find the number of cookies that Sara has baked for $x=5$ hours

$y=45x+38$

$y=45*5+38=263$

$263 > 220$

therefore

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case B) Sara bakes $45$ cookies each hour

The statement is True

we know that

The number of cookies baked each hour is equal to the slope of the linear equation

The linear equation is

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The slope is $m=45\frac{cookies}{hour}$

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The statement is false

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The slope is equal to

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Let

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Substitute the values

$m=\frac{179-19}{4-0}$

$m=40\frac{cookies}{hour}$

case D) Liz bakes more cookies each hour than Sara

The statement is False

Sara bakes $45$ cookies each hour

Liz bakes $40$ cookies each hour

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