Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 1 Page 461

The y- intercept is the point (0,a).

Answer: Exponential decay
y-intercept: 100

Practice makes perfect

We want to determine whether the given function represents exponential growth or exponential decay. Let's recall the general form of an exponential function. y= a b^x

Growth or Decay?

The value of b tells us whether the function is growth or decay.
  • If b>1, the function represents exponential growth.
  • If 0

Let's consider the given function. y= 100 ( 0.25 )^x We can see that b= 0.25. Since b<1, the function represents exponential decay.

Determining the y-intercept

The y-intercept of an exponential function is (0,a). Looking back at the given function, we can see that a= 100. Therefore, the y-intercept is (0, 100).