For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7....

Question

For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7.

Accepted Answer

Hello, everyone. The graph of a function is given below. We want to evaluate F of five and F of negative three. The graph we are given is a continuous line increasing from left to right with a Y intercept at negative two and an X intercept a little before the value of one. Our answer choices are a F of five equals negative 13 and F of negative three equals negative BF of five equals 13 and F of negative three equals negative 11 CF of five equals and F of negative three equals 11 DF of five equals negative 11 and F of negative three equals beginning with F of five, I recall that this is the function value when the X value equals five. So if X equals five, we wanna know what does Y equal when the function is five. So I'm gonna look at my X axis find the value five and trace it up until I hit my function. Oh That was almost a straight line. And that appears to happen in the first quadrant at approximately 13. I'm comfortable saying it is at 13. So this is the 0.5 13. So then F of five equals for F of negative three. Again, this means that our X value is gonna be negative three. Our Y value is what we're trying to find out. So looking at the X axis finding negative three, tracing it down till it bumps into the function, it appears to bump into our function graph at negative 11. So F of five is 13, F of negative three is negative 11. And so let's check our answer choices. Um Let's see, F of five is 13, F of negative three is negative 11. That is answer choice B have a nice day.

For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7.

Key Concepts

Function Evaluation

Understanding Function Notation

Handling Negative Inputs in Functions

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