Key features of 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 domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = 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

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is a vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If any vertical line intersects the curve more than once, it is not a function.

Front

What is a constant function?

Back

A constant function is a function that always returns the same value regardless of the input, expressed as f(x) = c, where c is a constant.

Front

What is an inverse function?

Back

An inverse function reverses the operation of the original function, meaning if f(x) = y, then f⁻¹(y) = x.

Tags

CCSS.HSF-BF.B.4A

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the domain.

Tags

CCSS.HSF-IF.C.7B