EVALUATING FUNCTIONS

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Tags

CCSS.8.F.A.1

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output value for a given input.

Tags

CCSS.HSF.IF.A.2

Front

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

Back

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

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 the function.

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

How do you find the value of a function at a specific point?

Back

Substitute the specific point into the function's equation and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Tags

CCSS.8.F.A.1

Front

What does the notation f(x) mean?

Back

f(x) represents the output of the function f for the input x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If g(x) = x^2, what is g(-3)?

Back

g(-3) = (-3)^2 = 9.

Tags

CCSS.HSF.IF.A.2