Introduction to Functions

Front

What is a function?

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 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 f(3) for the function f(x) = 2(x + 4) + 3?

Back

f(3) = 2(3 + 4) + 3 = 2(7) + 3 = 14 + 3 = 17.

Tags

CCSS.HSF.IF.A.2

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Tags

CCSS.HSA.CED.A.3

Front

Given the ordered pairs {(1,3), (5,15), (2,6), (4,12), (3,9)}, what is the range?

Back

The range is {3, 6, 9, 12, 15}.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If f(x) = 4, what is the value of x if f(x) = 2x + 2?

Back

x = 1.

Tags

CCSS.HSF.IF.A.2

Front

How do you find f(0) for the function f(x) = 2x + 2?

Back

f(0) = 2(0) + 2 = 0 + 2 = 2.

Tags

CCSS.HSF.IF.A.2

Front

For the function y = x + 1, what is the range if the domain is {0, 1, 2}?

Back

The range is {1, 2, 3}.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.