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Evaluate each function for five values of $x .$ Then graph each function.$f(x)=|x-3|+2$
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Calculus 1 / AB
Calculus 3
Precalculus
Algebra
Chapter 2
Functions, Equations, And Graphs
Section 6
Families of Functions
Functions
Partial Derivatives
Algebra Topics That are Reviewed at the Start of the Semester
Continuous Functions
Functions of Several Variables
The Language of Algebra
Fractions and Mixed Numbers
Graphs and Statistics
Equations and Inequalities
Linear Functions
Rational Functions
Exponential and Logarithmic Functions
Oregon State University
McMaster University
Lectures
01:43
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).
03:05
In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".
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Evaluate each function for…
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Graph each function.$f…
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Graph each function by mak…
04:18
Graph each of the function…
00:43
Graph each function.$$…
00:41
01:25
Graph each function $f…
02:13
02:42
Graph each function. See E…
00:25
uh, I went ahead and started by choosing my five values of X that I want to plug into my equation. And so essentially, I just chose values that we're going to be to the left of to the right of and at X is equal to three because I can see from looking at my my function that we're going to have a horizontal shift of three units to the right here so we can go ahead and start evaluating our function. Um, at F zero at the beginning of our table. And when we plug this in, we're going to get F zero is equal to the absolute value of zero minus three plus two. So this is equal to the absolute value of negative three plus two, which will simplify to five. And we can go ahead and do the same thing for f of one. So in this case, uh, it will be equal to one minus three, putting in or one for X there close to. So this is going to become the absolute value of negative two plus two, which will simplify to four. And we can continue down our left column the same way and solve for our remaining values in our right column. And so when we do that, um, our remaining why values are going to be too for and five. And our last step in this problem is going to be graphing our function so we can go ahead and start plotting her points. So we have 05 14 32 54 And finally 65 So we can from here, go ahead and connect our points in a straight line, and now we have our absolute value.
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