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QLDMath MethodsQuick questions

Unit 2: Calculus

Quick questions on Exponential functions and their graphs (QCE Math Methods Unit 2)

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is y-intercept?
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Substitute x=0x = 0: y=ab−h+ky = a b^{-h} + k.
What is horizontal asymptote?
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Always y=ky = k (the value the function approaches as the exponent goes to negative infinity for b>1b > 1, or positive infinity for b<1b < 1).
What is range?
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y>ky > k (if a>0a > 0) or y<ky < k (if a<0a < 0).

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