Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format f(x), where f is the name of the function and x is the input variable.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you write a function that represents a babysitting charge of a flat fee plus an hourly rate?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the notation f(x) = -4 mean?

Back

It means that the output of the function f for the input x is -4.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you solve for x in the equation f(x) = -4 + x/4?

Back

To find x when f(x) = -4, set -4 + x/4 = -4 and solve for x, which gives x = 0.

Tags

CCSS.HSF.IF.A.2

Front

What is the value of f(n) = 4 - 10n when f(n) = 14?

Back

Set 4 - 10n = 14 and solve for n, which gives n = -1.

Tags

CCSS.HSF.IF.A.2

Front

How do you evaluate the function y = 4x - 1 for x = 2?

Back

Substitute x = 2 into the equation: y = 4(2) - 1 = 8 - 1 = 7.

Tags

CCSS.HSF.IF.A.2

Front

What is the process to evaluate f(x) = 3x + 7 for f(-4)?

Back

Substitute -4 into the function: f(-4) = 3(-4) + 7 = -12 + 7 = -5.

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the flat fee in a function representing a real-world scenario?

Back

The flat fee represents a constant amount that is charged regardless of the variable input (e.g., hours worked).

Tags

CCSS.HSF.LE.B.5

Front

What does it mean if a function is linear?

Back

A linear function is one that can be graphically represented as a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you identify the slope in a linear function?

Back

The slope (m) in the function f(x) = mx + b represents the rate of change of the function with respect to x.

Tags

CCSS.8.EE.B.5