Question

Match the symbol to the meaning f(x) \rightarrow -\infty Answer 1 x \rightarrow a^- Answer 2 x \rightarrow -\infty Answer 3 x \rightarrow a^+ Answer 4 x \rightarrow \infty Answer 5 f(x) \rightarrow aAnswer 6 f(x) \rightarrow \infty Answer 7

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the key terms

$\begin{gathered} f(x)\Rightarrow o\text{utput} \\ \rightarrow\Rightarrow approaches \\ a\Rightarrow a \\ \infty\Rightarrow\text{ infinity} \\ -\infty\Rightarrow\text{negative infinity} \end{gathered}$

STEP 2: Match the symbol to the meaning

Hence, the correct meaning matching will be:

$\begin{gathered} f(x)\rightarrow-\infty\Rightarrow\text{the output approaches negative infinity} \\ x\rightarrow a^-_{}\Rightarrow x\text{ approaches a from the }left \\ x\rightarrow-\infty\Rightarrow x\text{ approaches negative infinity} \\ x\rightarrow a^+\Rightarrow x\text{ approaches a from the right} \\ x\rightarrow\infty\Rightarrow x\text{ approaches infinity} \\ f(x)\rightarrow a\Rightarrow the\text{ output approaches a} \\ f(x)\rightarrow\infty\Rightarrow the\text{ output approaches infinity} \end{gathered}$