Can someone please help me with this i don’t understand:(
1 answer:
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<h3>Answer: 3</h3>
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Explanation:
This is the given piecewise function
We can rewrite things like this
I personally prefer this format better because it mentions the inputs first, and that leads to which function definition we go for.
The input a = 2 fits the description of since
is a true statement. Therefore we go for the third line and can see that
becomes
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As another example, if we had the input a = 7, then we'd go for the first line (since 7 > 3) and get
h(a) = 3a+2
h(7) = 3(7)+2
h(7) = 23
You can use Desmos to graph these and make your own judgment as to the intercepts and rates of increase/decrease.
The ones with a base < 1 will decrease rapidly, then slowly. The one with a base > 1 will increase slowly, then rapidly. The y-intercept is the multiplier in front of the base.
The ones with a base < 1 will decrease rapidly, then slowly. The one with a base > 1 will increase slowly, then rapidly. The y-intercept is the multiplier in front of the base.