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Answer:
9. a = 3, b = 3, y-intercept = 3
10. a = 5, b = 0.6, y-intercept = 5
Step-by-step explanation:
The picture is fuzzy, but we think the given equations are ...
[tex]\text{9. }f(x)=3(3)^x\\ \text{10. }f(x)=5(0.6)^x[/tex]
You are comparing these to the form ...
[tex]f(x) = a(b)^x[/tex]
so the values of 'a' and 'b' should be readily identifiable. The y-intercept in each case is y = a.
The end behavior depends on whether b > 1 or not. Growth functions (b>1) go to 0 on the left and ∞ on the right. Decay functions (b<1) are the reverse.
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9. a = 3, b = 3, y-intercept = 3
The end behaviors are (x, f(x)) ⇒ (-∞, 0), (∞, ∞).
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10. a = 5, b = 0.6, y-intercept = 5
The end behaviors are (x, f(x)) ⇒ (-∞, ∞), (∞, 0).
