Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as 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 evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

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 value of a function at a given point?

Back

To find the value of a function at a given point, substitute the x-value into the function's equation and calculate the corresponding y-value.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a function is linear?

Back

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

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is a y-intercept?

Back

The y-intercept of a function is the point where the graph of the function crosses the y-axis, occurring when x = 0.

Front

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

Back

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

Front

What is the significance of the inequality in the range of a function?

Back

The inequality in the range indicates the limits of the output values, showing which values are included or excluded from the range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5