IM Alg1.4.4 Practice: Using Function Notation to Describe Rules (Part 1)

Match each equation with a description of the function it represents.

[math]f\left(x\right)=2x+4[/math]

To get the output, multiply the input by 2, then add 4 to the result. To get the output, add 4 to the input, then multiply the result by 2. To get the output, add 2 to the input, then multiply the result by 4. To get the output, multiply the input by 4, then add 2 to the result.

[math]g\left(x\right)=2\left(x+4\right)[/math]

To get the output, multiply the input by 2, then add 4 to the result. To get the output, add 4 to the input, then multiply the result by 2. To get the output, multiply the input by 4, then add 2 to the result. To get the output, add 2 to the input, then multiply the result by 4.

[math]h\left(x\right)=4x+2[/math]

To get the output, add 4 to the input, then multiply the result by 2. To get the output, multiply the input by 4, then add 2 to the result. To get the output, multiply the input by 2, then add 4 to the result. To get the output, add 2 to the input, then multiply the result by 4.

[math]k\left(x\right)=4\left(x+2\right)[/math]

To get the output, add 4 to the input, then multiply the result by 2. To get the output, multiply the input by 4, then add 2 to the result. To get the output, add 2 to the input, then multiply the result by 4. To get the output, multiply the input by 2, then add 4 to the result.

Function P represents the perimeter, in inches, of a square with side length x inches. Complete the table.

Write an equation to represent function [math]P[/math].[br]

Sketch a graph of function P.

Functions f and A are defined by these equations.

[table][tr][td][math]f\left(x\right)=80-15x[/math] [/td][td] [math]A\left(x\right)=25+10x[/math][br][/td][/tr][/table] Which function has a greater value when [math]x[/math] is 2.5?

An equilateral triangle has three sides of equal length.

Function [math]P[/math] gives the perimeter of an equilateral triangle of side length [math]s[/math].[br]Find [math]P\left(2\right)[/math].

Find [math]P\left(10\right)[/math].

Find [math]P\left(s\right)[/math].

Imagine a situation where a person is using a garden hose to fill a child's pool. Think of two quantities that are related in this situation and that can be seen as a function.

Define the function using a statement of the form “ [math]\underscore\underscore\underscore\underscore\underscore[/math]is a function of [math]\underscore\underscore\underscore\underscore\underscore[/math]. "[br]Be sure to consider the units of measurement.

Sketch a possible graph of the function. Be sure to label the axes.

Then, identify the coordinates of one point on the graph and explain its meaning.

Function [math]C[/math] gives the cost, in dollars, of buying [math]n[/math] apples. [br]Which statement best represents the meaning of [math]C\left(10\right)=9[/math]?

The cost of 10 apples. The cost of 9 apples is $10. Ten apples cost $9. The cost of buying 9 apples

Diego is baking cookies for a fundraiser. He opens a 5-pound bag of flour and uses 1.5 pounds of flour to bake the cookies.

Which equation or inequality represents [math]f[/math], the amount of flour left in the bag after Diego bakes the cookies?

[math]f>3.5[/math] [math]f=1.5[/math] [math]f<1.5[/math] [math]f=3.5[/math]