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4.07 Characteristics of linear functions

Adaptive
Worksheet

Interactive practice questions

Consider the equation $y=-3x+4$y=3x+4.

Assume that $y$y is a function of $x$x.

a

Rewrite the equation using the function notation $f\left(x\right)$f(x).

b

Find the value of $f\left(-2\right)$f(2).

c

Find the value of $f\left(3\right)$f(3).

d

Sketch the graph of the function.

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Easy
3min

Consider the equation $y-4=-3\left(x-5\right)$y4=3(x5).

Assume that $y$y is a function of $x$x.

Easy
3min

Consider the function $f\left(x\right)=6x+4$f(x)=6x+4.

Medium
3min

Consider the function $f\left(x\right)=-3x+7$f(x)=3x+7.

Medium
3min
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Outcomes

MA.912.AR.2.5

Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine constraints in terms of the context.

MA.912.F.1.2

Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.

MA.912.F.1.5

Compare key features of linear functions each represented algebraically, graphically, in tables or written descriptions.

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