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 a function is given below. And we are asked to evaluate F of negative three and F of two on our function starting in the third quadrant, we have the point negative three negative 13 and that increases to the point negative one, negative four. The next section begins at negative one, negative four and increases to the 0.2 negative two. And the third section begins at the 0.2 negative two and increases to the 0.44. Our answer choices are A F of negative three equals 13 and F of two equals two BF of negative three equals negative 13 and F of two equals negative two. CF of negative three equals negative 13 and F of two equals two DF of negative three equals 13 and F of two equals negative two. First recall that when we have something like F of negative three and F of two, this is the same as saying, OK, the X value here is negative three, the X value here is two. We want to know what Y value goes with them. So that's what we don't know. So starting with negative three, I'm going to look on the graph and go over to where X is negative three and trace it down until I find where it intersects our function and it appears to intersect at negative 13. So F of negative three would equal negative 13. I'm gonna do the same for F of two, going to trace over for X equals two and trace it down until I see where it matches my function, which appears to be at the point negative two. So this is the 0.2 negative two. So F of two equals negative two. So now that I know their values, I'm going to check my answer choices and that appears to be answer choice B F of negative three equals negative 13 and F of two equals negative two 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

Understanding Function Notation

Reading Graphs of Functions

Domain and Range of a Function

Watch next