Question

2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

(a) What output does the rule give when the input is ? Show your work.
(b) What output does the rule give when the input is ? Show your work.
(c) Is the rule a function? Explain why it is or why it is not.

Answer 1

The output of the rule when given different inputs is found by substituting the input into the rule. The rule is a function because each input has a unique output.

Step-by-step explanation:

To find the output of the rule, we substitute the given input into the rule:

(a) When the input is 3, we have f(3) = 2(3) - 5 = 1.

(b) When the input is -4, we have f(-4) = 2(-4) - 5 = -13.

(c) Yes, the rule is an example of a function. A function is a relation in which each input (x-value) has exactly one output (y-value). In this rule, each input corresponds to a unique output, so it satisfies the definition of a function.

Answer 2

A and B is the same...