Evaluating Functions

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 does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input value is substituted into the function.

Tags

CCSS.HSF.IF.A.2

Front

What is the notation for a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you find f(x) for a given x?

Back

Substitute the value of x into the function's equation and simplify to find the output.

Tags

CCSS.HSF.IF.A.2

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of the function when x = 0.

Front

How do you solve for x in the equation f(x) = k?

Back

Set the function equal to k and solve for x.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of a function?

Back

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

Front

Evaluate g(x) = 5 - 6x for x = -5.

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Tags

CCSS.HSF.IF.A.2