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In this example you will see different ways you can be asked to enter multiple answers_Find the exact values of x so that f '(x) 0 for f(x) = x2 ex.smaller val...

Question

In this example you will see different ways you can be asked to enter multiple answers_Find the exact values of x so that f '(x) 0 for f(x) = x2 ex.smaller value)(larger value)Enter your answers in single field, separated by a comma. Try different orders.

In this example you will see different ways you can be asked to enter multiple answers_ Find the exact values of x so that f '(x) 0 for f(x) = x2 ex. smaller value) (larger value) Enter your answers in single field, separated by a comma. Try different orders.



Answers

Answers are given at the end of these exercises If you get a wrong answer read the pages listed in red. The graph of the function $f(x)=3 x^{4}-x^{3}+5 x^{2}-2 x-7 $will behave like the graph of_____for large values of $|x|$.

Okay, so we want to graph the following equation. Let's notice that this here is a piece wise function. So it's not that let's start with our X is equal to two. When X is equal to two, we know that our Y value is equal to three. So we have one x addicted to Why is too or is three Now let's graft this equation when X is not equal to two. So lets you know that this is important for so we have an X intercept of negative too. And then we're going to go up three units 123 and to the right, one up 3123 into the right one. So it's not that instead of a solid circle, we're going to have an open circle here. Okay, so our graph is going to look like this and then extends upwards like so

Okay. This question asks us for a suitable domain restriction to make the function X minus one all squared 1 to 1. So let's go ahead and think about the graph of this function. We notice there's a problem that's been moved one unit to the right. Okay. So it looks something like this and we need to make it 1 to 1, meaning it needs to pass a horizontal lion test. So any horizontal line we draw across here needs to cross the graph at most once. Okay, So clearly it's kind of this vertex point is the key. This is where we need to restrict the domain to make it 1 to 1. Okay, we can do this on the left side or the right side. So we can say X is less than or equal one. Or we could split the domain so the X is greater than or equal to one. Either one of these domain restrictions will make this function 1 to 1.

Number eight. The equation given is in Vertex form, so we can identify. The Vertex is minus four and three. So Group C is the only one with these Vertex.

Number six. The equation given is in Vertex form, so we can identify the Vertex adds four and three. We also see that because of the negative sign in front of this popular must open down words Grab A is the only one that satisfies these conditions.


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