MathAdmin at 18:48, 2 June 2015

2015-06-02T18:48:57Z

MathAdmin: Created page with "''' Question ''' Graph the following function, $f(x) = \log_2(x+1) + 2$
Make sure to label any asymptotes, and at least two points on the grap..."

2015-06-01T01:34:24Z

Created page with "''' Question ''' Graph the following function, <center><math>f(x) = \log_2(x+1) + 2</math></center> <br> Make sure to label any asymptotes, and at least two points on the grap..."

New page

''' Question ''' Graph the following function, <center><math>f(x) = \log_2(x+1) + 2</math></center> <br>
Make sure to label any asymptotes, and at least two points on the graph.

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answers
|-
|a) False. Nothing in the definition of a geometric sequence requires the common ratio to be always positive. For example, <math>a_n = (-a)^n</math>
|-
|b) False. Linear systems only have a solution if the lines intersect. So y = x and y = x + 1 will never intersect because they are parallel.
|-
|c) False. <math>y = x^2</math> does not have an inverse.
|-
|d) True. <math>cos^2(x) - cos(x) = 0</math> has multiple solutions.
|-
|e) True.
|-
|f) False.
|}

[[005 Sample Final A|'''<u>Return to Sample Exam</u>''']]

@@ Line 4: / Line 4: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-! Final Answers
+! Foundations
 |-
-|a) False. Nothing in the definition of a geometric sequence requires the common ratio to be always positive. For example, <math>a_n = (-a)^n</math>
+|1) What is the basic graph of <math> f(x) = \log_2(x+1) + 2</math>?
 |-
-|b) False. Linear systems only have a solution if the lines intersect. So y = x and y = x + 1 will never intersect because they are parallel.
+|2) How is the graph <math>g(x)=x^3 + 2</math> obtained from <math>f(x)=x^3</math>?
 |-
-|c) False. <math>y = x^2</math> does not have an inverse.
+|3) How is the graph <math>g(x)=(x+1)^2</math> obtained from <math>f(x)=x^2</math>?
 |-
-|d) True. <math>cos^2(x) - cos(x) = 0</math> has multiple solutions.
+|Answer:
 |-
-|e) True.
+|1) The basic graph is <math>y=\log_2(x)</math>.
 |-
-|f) False.
+|2) The graph of <math>g(x)</math> is obtained by shifting the graph of <math>f(x)</math> up 2 unit.
 |}
 [[005 Sample Final A|'''<u>Return to Sample Exam</u>''']]

005 Sample Final A, Question 17 - Revision history

MathAdmin at 18:48, 2 June 2015

MathAdmin: Created page with "''' Question ''' Graph the following function, f(x) = \log_2(x+1) + 2 Make sure to label any asymptotes, and at least two points on the grap..."

MathAdmin: Created page with "''' Question ''' Graph the following function, $f(x) = \log_2(x+1) + 2$
Make sure to label any asymptotes, and at least two points on the grap..."