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Problem

Given the following graph, $\cdot$ Evaluate $f(4…

01:15

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Problem 53 Medium Difficulty

Given the following graph,
$\cdot$ Evaluate $f(0)$
$\cdot$ Solve for $f(x)=-3$


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Related Courses

Algebra

Precalculus

Chapter 1

Functions

Section 1

Functions and Function Notation

Related Topics

Graphs and Statistics

Functions

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Video Thumbnail

01:43

Function Notation - Example 1

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

Video Thumbnail

03:18

Function Notation - Example 2

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Problem 10
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Problem 13
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Problem 16
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Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
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Problem 32
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Problem 46
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Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
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Problem 55
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Video Transcript

Okay, so we begin this problem with a graph. Here are some of the features we see on the graph. It has a basic kind of w type shape. Gonna come down like this is gonna go up. It's gonna wrap around. It's gonna come back around, back up some of the points that we can see on the graph. Quite clearly, we have a 01 That is a point on the graph. We have a point down here. This point is at negative 23 All right. And then we have this point over here. This point is that positive? To negative three. We went right to down three. This should be negative here. Okay, so we've got those basic points. Crap is going up on both ends, and we are asked for this function. The graph is half of acts. Remember, the f of X g of x n of x p of x is why, and we're asking this question to find the value of find the value of f of zero. Okay, So as we said since the general idea is that f of axe and of Xbox is why what we're saying here is if x zero What is why on this craft? And if you look here this point if x zero, if I don't go left to right, what do I do with up? Down I go up one to be on the graph. So the answer to FF zero is one. Why is one when x zero on this raft? You separately from that we are asked to solve so half of the f of X is equal to negative three. Okay, remember again half of axe is why So we're saying we want why to be negative three. We want to know what are the values of X that make y equal date of negative three y equals negative. Three would be a horizontal line down here. So we draw the line y equals negative three. And we ask ourselves, where are the points on the graph that touched this line? We've got one right here. We've got another one right here. If you think about X y right, once Roy's like X y were saying If why is negative 31 sex and we can see in one case too. In another case. Negative too. So in solving this equation. The values of X, for which F of X is equal. Negative. Three. We would say X is equal to two are negative too. Or we could contents and say as plus minus two. Okay, we are.

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Function Notation - Example 1

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

Video Thumbnail

03:18

Function Notation - Example 2

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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