Step Functions Answers
Evaluate:
Evaluate:
The domain of the function is all
The range of the function is all
Which pair(s) of expressions are equal in value? Check all that apply.
What is the domain of ?
Gift cards are sold by an online store to purchase movies. A graph representing this situation is shown.This step function is discontinuous at all integers greater than 0multiples of 5 greater than 0multiples of 8 greater than 0.
The domain of the function is all
A parking garage allows users to park the first hour free and then charges $2.50 for each additional hour or fraction of an hour. Which equation represents this situation?
Gift cards are sold by an online store to purchase movies. A graph representing this situation is shown.This step function is discontinuous at .
Evaluate:
Which pair(s) of expressions are equal in value? Check all that apply.
Is the statement true for all real numbers? Explain.
The statement is not true for all real numbers. It is only true for noninteger (decimal or fractional) values of x. If x is an integer, the ceiling function ⌈x⌉ equals x, but the floor function ⌊x 1⌋ equals x 1. Since x does not equal x 1 for any integer, the equation does not hold when x is an integer.
Describe the graph of on [0, 3). Be specific in your description.
On the interval [0, 3), the graph of y 4⌊x 2⌋ consists of three horizontal steps. For 0 ≤ x < 1, the step is at y 8. For 1 ≤ x < 2, the step is at y 12. For 2 ≤ x < 3, the step is at y 16. Each step has a closed circle at the left endpoint and an open circle at the right endpoint.
What is the domain of ?
A parking garage allows users to park the first hour free and then charges $2.50 for each additional hour or fraction of an hour. Which equation represents this situation?
What is the range of ?
The range of the function is all
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