Exploring Functions: Domain, Range, and Evaluation

This video tutorial by Betsy provides a comprehensive review of functions, including their definitions, how to identify them using ordered pairs and the vertical line test, and understanding domain and range in graphs. The tutorial also covers evaluating functions with different inputs, using examples to illustrate each concept. The video aims to reinforce the understanding of functions, domain, and range, and how to evaluate functions with various inputs.

What must be true for a relation to be considered a function?

• Every output has a unique input.

• Every input has a unique output.

• Every input has the same output.

• Every output has the same input.

In the given ordered pairs, which input value indicates that the relation is not a function?

• 7

• 0

• 4

• 6

What test can be used to determine if a graph represents a function?

• Point Test

• Vertical Line Test

• Slope Test

• Horizontal Line Test

If a vertical line crosses a graph more than once, what does it indicate?

• The graph is a function.

• The graph is not a function.

• The graph is linear.

• The graph is quadratic.

What does the domain of a function represent?

• How high the graph goes.

• How low the graph goes.

• The slope of the graph.

• How far left and right the graph goes.

What does the range of a function represent?

• The intercept of the graph.

• The slope of the graph.

• How far left and right the graph goes.

• How high and low the graph goes.

What is the domain of a function that goes from -6 to positive infinity?

• (-6, ∞)

• [-6, ∞)

• (-∞, 6]

• (-∞, 6)

If f(x) = -2x + 1, what is f(4)?

• 7

• -7

• 9

• -9

If h(x) = 5 - x, what is h(-3)?

• 2

• 8

• 5

• -8

If g(x) = x^3 - 4, what is g(-2)?

• -12

• 12

• -8

• 8