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College Algebra & Trigonometry, 2018a

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142 CHAPTER 3. EXPONENTS AND LOGARITHMS<br />

Consider the graphs of the following relationships:<br />

y =1.5 x<br />

y =2 x<br />

y =3 x<br />

y =10 x<br />

Let’s look at the graphs for these functions:<br />

20<br />

15<br />

10<br />

20<br />

15<br />

10<br />

y =2 x<br />

y =1.5 x −4 −2 2 4<br />

5<br />

5<br />

−4 −2 2 4<br />

−5<br />

20<br />

15<br />

10<br />

−5<br />

20<br />

15<br />

10<br />

y =10 x<br />

y =3 x −4 −2 2 4<br />

5<br />

5<br />

−4 −2 2 4<br />

−5<br />

−5<br />

We can see that these graphs demonstrate slightly different behavior and different<br />

x and y values. One thing that they all have in common is that they all pass

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