Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input value, e.g., f(x).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does g(x) = 4x - 7 represent?

Back

This represents a linear function where the slope is 4 and the y-intercept is -7.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you find g(-9) for g(x) = 4x - 7?

Back

Substitute -9 into the function: g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Tags

CCSS.HSF.IF.A.2

Front

What is the slope of the function g(x) = 4x - 7?

Back

The slope is 4, indicating the function increases by 4 units for every 1 unit increase in x.

Tags

CCSS.8.EE.B.5

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the value of f(1) if f(x) = 5?

Back

f(1) = 5, meaning the output is 5 when the input is 1.

Tags

CCSS.HSF.IF.A.2

Front

What does a table of values represent in a function?

Back

A table of values shows pairs of input and output values that correspond to a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1