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2. function g is represented by the graph. for what input value or valu…

Question

  1. function g is represented by the graph.

for what input value or values is g(x)=4?
a. 2
b. -2 and 2
c. 16
d. none

  1. function p gives the perimeter of an equilateral triangle of side length s. it is

represented by the equation p(s)=3s.
a. what does p(s)=60 mean in this situation?
b. find a value of s to make the equation p(s)=60 true.

  1. function g takes a students first name for its input and gives the number of letters

in the first name for its output.
a. describe the meaning of g(jada)=4.
b. find the value of g(diego).
(from unit 4, lesson 2.)

  1. w gives the weight of a puppy, in pounds, as a function of its age, t, in months.

describe the meaning of each statement in function notation.
a. w(2)=5

Explanation:

Step1: Understand the function \(g(x)\)

The function \(g(x)\) is represented by a graph. We need to find the \(x\)-values for which \(y = g(x)=4\).

Step2: Analyze the graph

Looking at the graph, when \(y = 4\), we can see that the \(x\)-values are \(x=- 2\) and \(x = 2\) (by observing the points where the horizontal line \(y = 4\) intersects the graph of \(y=g(x)\)).

Answer:

B. -2 and 2