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

Question

Graph of function g showing points where g(x) = 1 for x values.

For what value of x is g(x) = 1?

Accepted Answer

Welcome back. I am so glad you're here. We are given this graph on the left and based on that graph we need to figure out the value of X. Given our function Y equals F. Of X. And we're told that we are looking for the value of X at f of X equals negative three. Okay, what does that mean? A five X equals negative three. We recall from previous lessons that ffx that's the same as the Y value. So we want to know what our function is doing where why equals negative three. We recall also from previous lessons that we have an ordered pair that lists the X value first and then the Y value second. So the Y value is negative three. And we're looking for the associated X value for our function line. Okay well we recall that the Y values are the vertical ones, the ones going up and down. So on our Y axis where is negative three? Negative three is right here and more generally negative three. Is this whole line going from left to right to infinity. And what's our function doing when it encounters negative three? Well actually the function line encounters negative three right here on the Y axis itself. So what's the associated X value. When the function line hits the Y axis we recall that the X axis is the horizontal one. So on that line, what's our associated X value? Well that's right at X equals zero. So for our function when y equals negative three X equals zero. We look at our answer choices and this matches with answer choice A well done, we'll catch you on the next one.

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

For what value of x is g(x) = 1?

Key Concepts

Function and Graph Interpretation

Finding Intersections

Coordinate System

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