Question
Teading Graphs Below is the graph of some function let $ name it y = f(c). We write it like this because the y-values are the samne as the function valuesWhat is the y-value when is 17 What is f(3)? What is f(4)? When is f(c) When is f(r) = 1? (There are answers here) When is f(r)
teading Graphs Below is the graph of some function let $ name it y = f(c). We write it like this because the y-values are the samne as the function values What is the y-value when is 17 What is f(3)? What is f(4)? When is f(c) When is f(r) = 1? (There are answers here) When is f(r)
Answers
Graph each of the functions using the graphs of functions $f$ and $g$ below. $$ y=2 f(x)+1 $$
Okay, so for y equals two times f of X plus one. What we should start with is just take f of X and add one. And that looks like this, as we've seen before. And then you want to take you to these points that are on the line crossings, right amount, and then multiply them by two and then plot those and connect the dots. So from left to right, we have, um negative two zero. We have negative. One, two, 02 12 and 20 So when we go through, multiply these. We get 40 negative. 24 zero for 24 and 40 So going in plotting those you got negative. 40 There we have Negative, too negative. 24 here. 04 Here. Um, 24 And then 40 is there. And so when we connect the dots to connect the dots Mm hmm. Not as straight as I want it, but well, here, just to make it look good. Oh, my gosh. There. So that is two times f of X plus one
Okay. So if you look at The graph of f. of three, you look at the X value equals to three on the X axis. And you find the corresponding point on the on the graph, you can see actually the correspondent value of why Is around -4. Okay, So we can see that f. of three He goes to -4.
We need to use the graph to evaluate the following, So we're first going to find the function F at one. So when X is one, F is equal to two. Then we're going to evaluate the function F two. So when X is equal to to our function is equal to three.
Okay, so you're gonna want to refer to your books. Got here? Um, before we decided to look at that, let's start by explaining what we currently happen. So we have G plus f. Well, we can you write this as G? First of all, wait about two on an ad that with f evaluate at and in the same thing for a difference. So this right that out And then the same thing for products that its G evaluated at one times f evaluated at once. And I'm looking at our graph looking at G or looking at acceptable to to our G is our blue graph, which is, and they get a three and then we have plus F is our red graph, and that's too. So this gives us in the good of one. And in a physical, it's a negative. Five R g is three and then or F, that's gonna be negative. Three. That's equal to six. And then at execute one or G graph is negative. Three. And our F graph is gonna be a to do. We get a six
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