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

What does f(x) represent?

Back

f(x) represents the output of the function 'f' when the input is 'x'. It shows the relationship between the input and the output.

Tags

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

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

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 (f(x) values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

A function is linear if it 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.A.3

Front

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

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Tags

CCSS.HSF-IF.C.7D

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 function's y-intercept?

Back

The y-intercept is the point where the function crosses the y-axis, found by evaluating f(0).