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.
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 ?
Evaluate:
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.
Does your answer include the following?
Describe the graph of on [0, 3). Be specific in your description.
There are three horizontal steps: y = 8 on [0, 1), y = 12 on [1, 2), and y = 16 on [2, 3). Each step has a closed circle on its left endpoint and an open circle on its right endpoint.
Reread your description. Did it include the following?
What is the domain of ?
What is the range 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 0✔ multiples of 8 greater than 0.
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