Using the graph shown in the image, solve the following questions:

Question

The image in question is this: https://i.imgur.com/3l7Wats.jpeg.

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1. Evaluate f(c).
2. Solve for x: f(x) = p
3. Suppose f(b) = z. Find f(z).
4. What are the coordinates of points L and K?
5. x-coordinate of L:
6. y-coordinate of L:
7. x-coordinate of K:
8. y-coordinate of K:

Answer 1

Hey Steven, I would be happy to help you with this problem. I will break down each problem and show the work/thought process behind it.

1. When we are evaluating a function at a particular x value, we are basically looking for which y value the x value creates on the graph. In other words we are looking for the y value the x value has on the function. In this case our x is c and the y value can be found by going up from c until your cursor touches the function graph. We then move the cursor the left until we reach the y-axis. we then reach t. Therefore f(c)=t
2. This question is similar to the last one but now we are given the y value but must find the x value. The overall process is the same just reversed. When we do that we are led to a. Therefore x=a
3. For this question we must find what f(b) is, to find this it is the same process as from question 1. When we do this we find that f(b) lies on the x-axis meaning that it does not have a y value, therefore z=0. Now we must find f(0) which is the same process as before. When we do this we get a y value of r. Therefore f(z)=r
4. For this question in general we must follow a process. We move our cursor to the point. Once we have done that to find the x value we move our cursor directly down until we get to the x-axis. At which point we will find our answer. This process is the same to find the y coordinate but instead of moving our cursor to the x-axis we move it to the y-axis. When this process is done we get the following answers.

a. c

b. t

c. a

d. p

If you have any questions as to how I got the answers feel free to ask at any time.