Use the graph of g to solve Exercises 71–76.

Question

Graph of function g with labeled axes, showing points for solving g(-4).

Find g(-4)

Accepted Answer

Welcome back. I am so glad you're here. We are given this graph and we're asked to find the value of F. At X equals one. So if we had an ordered pair we recall that that'll be the X. Value. And the Y. Value were given our X. Value X equals one. And we need to find the value of F. Or the corresponding Y. Value for our function where X equals one. Alright. We have our X. And our Y axis labeled X. Is the horizontal axis going from left to right. And why is the vertical axis going up and down? And we need to find where X equals one. Well we're not given every single point on our graph. We are given this five. So let's see if five is in fact five units to the right on our graph from the origin seeing if every line up and down is one unit. So counting to the right from the origin. 12345. Yes. So each line on the X axis is one unit. So we could label this one where X equals one. So we're talking about where a function line hits this line going up and down where X equals one. And the function line hits X equals one right here. So we need to find the associated Y. Value for that point. So we draw a line now left to right looking for our associated Y value. And again these aren't all labeled. So let's see if they are going up by one unit from the origin. So origin is zero and then 12345. Yes, they are all individual units. So the value of Y is also one there. So our functions value at X equals one is also one. We look at our answer choices in this matches with answer choice B. Well done, we'll catch you on the next one.

Use the graph of g to solve Exercises 71–76.
Find g(-4)

Key Concepts

Function Evaluation

Graph Interpretation

Coordinate System

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