Topics
4. Functions & Linear Relationships
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United States of AmericaTennessee
Algebra 1

4.06 Characteristics of linear functions

Lesson
Practice
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...
Easy
3min

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

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

A1.N.Q.A.1

Use units as a way to understand real-world problems.*

A1.N.Q.A.1.B

Use appropriate quantities in formulas, converting units as necessary.*

A1.A.REI.D.5

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).

A1.F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.*

A1.F.IF.B.5

Relate the domain of a function to its graph and, where applicable, to the context of the function it models. *

A1.F.IF.B.6

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate and interpret the rate of change from a graph.*

A1.F.IF.C.7

Graph functions expressed algebraically and show key features of the graph by hand and using technology.*

A1.F.IF.C.9

Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.*

A1.F.IF.C.9.B

Compare properties of the same function on two different intervals or represented in two different ways.

A1.F.LE.B.3

Interpret the parameters in a linear or exponential function in terms of a context.*

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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