Exploring Functions in Algebra 1

What are the two main learning objectives of this video?

• Study the impact of functions on modern mathematics

• Learn about different types of graphs and their properties

• Understand the history of functions and their applications

• Determine if a relation is a function and find the value of a function

What is the domain in a relation?

• The set of all ordered pairs

• The set of all possible values

• The set of all first values (inputs)

• The set of all second values (outputs)

Which of the following is true about a function?

• Each element of the range is paired with exactly one element of the domain

• Each element of the domain is paired with exactly one element of the range

• There can be multiple inputs for a single output

• There can be multiple outputs for a single input

What does the notation f(x) represent?

• The domain of the function

• The output value of the function

• The function name with the input value inside the parentheses

• f multiplied by x

Which of the following sets of ordered pairs represents a function?

• (1, 3), (2, 3), (3, 3)

• (4, 1), (5, 2), (5, 3), (6, 6), (1, 9)

• (2, 3), (3, 0), (5, 2), (4, 3)

• (2, 3), (2, 4), (3, 5), (4, 6)

What is the vertical line test used for?

• To determine if a graph represents a function

• To find the domain of a function

• To calculate the range of a function

• To identify the inputs and outputs of a function

Which of the following graphs represents a function?

• A circle

• A U-shaped parabola

• A vertical line

• A horizontal line

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

• 11

• 5

• 7

• 9

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

• -10

• -6

• -4

• -8

What is the output of the function h(z) = z^2 - 4z + 9 when the input is -3?

• 27

• 30

• 21

• 15