Difference between revisions of "008A Sample Final A, Question 2"

Latest revision as of 22:48, 25 May 2015

Question: Find f(5) for $f(x)=\log _{3}(x)-1$ , which is the function from problem 1.

Foundations:
How would you find f(5) if f(x) = 2x + 1 instead?
Answer: we replace every occurrence of x with a 5. So
${\begin{array}{rcl}f(5)&=&2(5)+1\\&=&11\end{array}}$

Solution:

Step 1:
Replace any occurrence of x by 5, so
${\begin{array}{rcl}f(5)&=&\log _{3}(5+3)-1\\&=&\log _{3}(8)-1\end{array}}$

Final Answer:
$\log _{3}(8)-1$

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-'''Question:''' Find f(5) for f(x) given in problem 1.
+'''Question:''' Find f(5) for <math>f(x) = \log_3(x) - 1</math>, which is the function from problem 1.
-Note: The function f(x) from problem 1 is: <math>f(x) = \log_3(x+3)-1</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-! Foundations
+! Foundations: &nbsp;
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 |How would you find f(5) if f(x) = 2x + 1 instead?
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 |}
+'''Solution:'''
-Solution:
 {| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
-! Step 1:
+! Step 1: &nbsp;
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 |Replace any occurrence of x by 5, so
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 {| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
-! Final Answer:
+! Final Answer: &nbsp;
 |-
 |<math> \log_3(8) - 1</math>