Use the graph of y = ƒ(x) to find each function value: (a...

Question

Use the graph of y = ƒ(x) to find each function value: (a) ƒ(-2) (b) ƒ(0) (c) ƒ(1) and (d) ƒ(4). See Example 7(d).

Accepted Answer

Hello, everyone. The graph of the function is given below. We are asked to evaluate F of negative two and F of three. Our function starts at the point negative decreases to the point negative one, negative five increases to the 0. and then decreases to the 0.3. Negative five. Our answer choices are A F of negative two equals two and F of three equals five BF of negative two equals negative five and F of three equals negative two. CF of negative two equals five and F of three equals two. DF of negative two equals negative two and F of three equals negative five. Recall that when we're given something such as F of negative two, that we want to find the Y value when the X value of this function is at negative two, so we have X equals negative two. We don't know the Y value same with F of three, FF three means we have X equals three. And we want to know when that runs on the graph. What is the Y value? So starting with negative two, F of negative two means I'm gonna go to negative two on my X axis and trace it down until I run into the function. And that happens at the point negative two, negative two. So this means F of negative two is negative two. Then I'm gonna do the same thing with F of three. So this is where X equals three and I trace it down till I hit the function which is at the 0.3 negative five. So F of three equals negative five. So we have the values for both. And let's see where in our answer choices this works out. So F of negative two is negative two and F of three is negative five. And that is answer choice D have a nice day.

Use the graph of y = ƒ(x) to find each function value: (a) ƒ(-2) (b) ƒ(0) (c) ƒ(1) and (d) ƒ(4). See Example 7(d).

Key Concepts

Function and Function Notation

Reading Values from a Graph

Domain and Range of a Function

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