004 Sample Final A, Problem 11 - Revision history

Kayla Murray at 04:10, 29 April 2015

2015-04-29T04:10:17Z

Kayla Murray at 04:07, 29 April 2015

2015-04-29T04:07:04Z

Kayla Murray at 03:35, 29 April 2015

2015-04-29T03:35:43Z

Kayla Murray: Created page with " Find and simplify the difference quotient $\frac{f(x + h) - f(x)}{h}$ for $f(x) = \sqrt{x - 3}$ "

2015-04-28T22:43:27Z

Created page with "<span class="exam"> Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>"

New page

<span class="exam"> Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>

@@ Line 22: / Line 22: @@
 ! Step 1:
 |-
-|The difference quotient we need to simply is <math>\frac{f(x + h) - f(x)}{h}=\frac{\sqrt{x+h-3}-\sqrt{x-3}}{h}</math>.
+|The difference quotient is <math>\frac{f(x + h) - f(x)}{h}=\frac{\sqrt{x+h-3}-\sqrt{x-3}}{h}</math>.
 |}

@@ Line 4: / Line 4: @@
 !Foundations
 |-
+|1) <math> f(x+h)=?</math>
 |-
+|2) How do you eliminate the <math>h</math> in the denominator?
 |-
 |Answer:
 |-
+|1) We have <math>f(x+h)=\sqrt{x+h-3}</math>
 |-
+|2) The difference quotient is <math>\frac{\sqrt{x+h-3}-\sqrt{x-3}}{h}</math>. To eliminate the <math>h</math> in the denominator,
 |}
@@ Line 20: / Line 22: @@
 ! Step 1:
 |-
+|The difference quotient we need to simply is <math>\frac{f(x + h) - f(x)}{h}=\frac{\sqrt{x+h-3}-\sqrt{x-3}}{h}</math>.
 |}
@@ Line 26: / Line 28: @@
 ! Step 2:
 |-
+|Multiplying the numerator and denominator by <math>\sqrt{x+h-3}+\sqrt{x-3}</math>, we get
 |}
@@ Line 32: / Line 36: @@
 ! Step 3:
 |-
+|Now, simplifying the numerator, we get
 |-
+|<math>\frac{f(x + h) - f(x)}{h}=\frac{h}{h(\sqrt{x+h-3}+\sqrt{x-3})} </math>. Now, we can cancel the <math>h</math> in the denominator.
 |}
@@ Line 40: / Line 46: @@
 ! Final Answer:
 |-
+|<math>\frac{f(x + h) - f(x)}{h}=\frac{1}{(\sqrt{x+h-3}+\sqrt{x-3})} </math>
 |}
 [[004 Sample Final A|<u>'''Return to Sample Exam</u>''']]

← Older revision		Revision as of 03:35, 29 April 2015
Line 1:		Line 1:
	<span class="exam"> Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>		<span class="exam"> Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>
		+
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	!Foundations
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|Answer:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	Solution:
		+
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 1:
		+	\|-
		+	\|
		+	\|}
		+
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 2:
		+	\|-
		+	\|
		+	\|}
		+
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 3:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Final Answer:
		+	\|-
		+	\|
		+	\|}
		+	[[004 Sample Final A\|<u>'''Return to Sample Exam</u>''']]

004 Sample Final A, Problem 11 - Revision history

Kayla Murray at 04:10, 29 April 2015

Kayla Murray at 04:07, 29 April 2015

Kayla Murray at 03:35, 29 April 2015

Kayla Murray: Created page with " Find and simplify the difference quotient \frac{f(x + h) - f(x)}{h} for f(x) = \sqrt{x - 3}"

Kayla Murray: Created page with " Find and simplify the difference quotient $\frac{f(x + h) - f(x)}{h}$ for $f(x) = \sqrt{x - 3}$ "