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 ?

(b)What output does the rule give when the input is ?

(c)Is the rule a function? Explain why it is or why it is not.

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

The outputs is as follows;

Hence:

The output is (-9,4)

Solving (b):

Inputs:

The outputs is as follows;

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.