Mid-Chapter Quiz
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The y- intercept is the point (0,a).
Answer: Exponential decay
y-intercept: 100
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
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.
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).