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Graph each function. Give the domain and range. S…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45

Problem 19 Easy Difficulty

Graph each function. Give the domain and range. See Examples $1-3$.
$$
f(x)=\sqrt{x+3}-3
$$

Answer

domain: $[-3, \infty)$
range: $[-3, \infty)$

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Video Transcript

money raft Function after backs equals the square root of X plus three minus three. And, um so if we know that we can always square root, um, 01 above. So start with an input of negative three if you're making a table, because then we're plugging negative three for X, get the spread of zero minus three, which is negative. Three. And you plug in negative. Two. Squared one, which is one minus three, is negative two and then the next convenient one being input of one for X because one plus for his for this credit for us two to minus three is negative. One. The next convenient one would be the square root of nine, which would be in inputted six. Six plus three is 993 0 So you know it's not on my axes. You know where to go. All right. So what is the domain and range? Well, the domain are excellent. Goes this far elapses negative three, but it does include it. So it's from negative three included to infinity the range are the Y values also from negative three on the why deposit infinite will go up forever

We have video lessons for 68.06% of the questions in this textbook

Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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