Chapter 6: Problem 1
Explain why a one-to-many rule cannot be a function.
Short Answer
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 6: Problem 1
Explain why a one-to-many rule cannot be a function.
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeCalculate \(f(x+h)\) when (a) \(f(x)=x^{2}\) (b) \(f(x)=x^{3}\) (c) \(f(x)=\frac{1}{x}\) In each case write down the corresponding expression for \(f(x+h)-f(x)\).
By sketching a graph of \(y=3 x-1\) show that this is a one-to-one function.
Explain what is meant by a function.
Draw a graph of the function $$ f(x)= \begin{cases}2 x+1 & x<3 \\ 5 & x=3 \\ 6 & x>3\end{cases} $$ Find (a) \(\lim _{x \rightarrow 0^{+}} f(x)\) (b) \(\lim _{x \rightarrow 0}-f(x)\) (c) \(\lim _{x \rightarrow 0} f(x)\) (d) \(\lim _{x \rightarrow 3^{+}} f(x)\) (e) \(\lim _{x \rightarrow 3^{-}} f(x)\) (f) \(\lim _{x \rightarrow 3} f(x)\)
Explain what is meant by a periodic function.
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