Back to Algebra: What are Functions?

The video tutorial introduces the concept of functions, explaining how they relate input and output values. It covers the representation of functions through graphs, emphasizing the vertical line test to determine if a graph represents a function. The tutorial also discusses the domain and range of functions, highlighting how these can vary depending on the function type. Additionally, it explains how to identify zeros of a function and evaluate functions using specific input values.

What is the function used to calculate the sale price of an item with a 30% discount?

• f(x) = 0.3x

• f(x) = 0.7x

• f(x) = x - 0.7

• f(x) = x + 0.3

Which test is used to determine if a graph represents a function?

• Diagonal line test

• Horizontal line test

• Parallel line test

• Vertical line test

What does it mean if a vertical line intersects a graph at more than one point?

• The graph is a function

• The graph is not a function

• The graph is a linear function

• The graph is a quadratic function

What is the domain of the function f(x) = 1/(x-2)?

• All real numbers except 2

• All positive numbers

• All real numbers

• All negative numbers

Which of the following describes the range of f(x) = |x|?

• All real numbers

• Values greater than or equal to 0

• Values less than or equal to 0

• Only positive numbers

What is the x-intercept of a function graphically known as?

• The slope

• The zero of the function

• The range

• The domain

How do you evaluate the function f(x) = 3x^2 - 5x + 2 for x = 2?

• f(2) = 12

• f(2) = 10

• f(2) = 4

• f(2) = 2