Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters like f, g, or h followed by parentheses containing the input variable, e.g., f(x).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify. For example, if g(x) = 3/4 x + 10, to find g(-12), substitute -12 for x.

Tags

CCSS.HSF.IF.A.2

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

How do you find the range of a quadratic function?

Back

For a quadratic function in the form f(x) = ax^2 + bx + c, the range can be determined by finding the vertex and the direction of the parabola (upward or downward).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the function's output (y-value) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the function's output (y-value) decreases.

Front

What is a linear function?

Back

A linear function is a function that can be represented by a straight line on a graph, 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

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

How do you find the x-intercept of a function?

Back

To find the x-intercept of a function, set the output (y) to zero and solve for x.