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2.05 Graphing 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.

Loading Graph...
Medium
3min

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

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

Medium
3min

Consider the function $f\left(x\right)=-3x+6$f(x)=3x+6.

Medium
3min

Consider the function $f\left(x\right)=-5x-15$f(x)=5x15.

Medium
3min
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Outcomes

A.REI.D.10

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

F.IF.C.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.C.7.A

Graph linear and quadratic functions and show intercepts, maxima, and minima.

F.IF.C.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

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