Step Functions Answers
Is the statement true for all real numbers? Explain.
The statement is not true for all real numbers. It is only true for non-integer (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?
The domain of the function is all
The range of the function is all
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 ?
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.
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?
Evaluate:
Which pair(s) of expressions are equal in value? Check all that apply.
Reread your description. Did it include the following?
What is the range of ?
Evaluate:
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