Given the graph, answer the following. a) Is the function increasing or decreasing? b) State the end behaviours. c) State the domain. d) State the range.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1 Given the graph, answer the following.
a) Is the function increasing or decreasing?
b) State the end behaviours.
c) State the domain.
d) State the range.
2. Fill in the blanks.
a) State the end behaviours of the function f(x) = log, x
b) Is the function f(x) = 2
+3 increasing or decreasing? (circle the answer)
c) State the equation of the asymptote for f(x) = log, (x – 4) + 9. .
d) State the x-intercept of the function f(x) = log,(x+5)–2. .
log 18
as a single logarithm.
log 6
e) Write
3. Create a logarithmic function with the following transformations:
→ a vertical shift down 4
→ a horizontal shift left 3
→ a vertical stretch of
→ a reflection in the y-axis
Transcribed Image Text:1 Given the graph, answer the following. a) Is the function increasing or decreasing? b) State the end behaviours. c) State the domain. d) State the range. 2. Fill in the blanks. a) State the end behaviours of the function f(x) = log, x b) Is the function f(x) = 2 +3 increasing or decreasing? (circle the answer) c) State the equation of the asymptote for f(x) = log, (x – 4) + 9. . d) State the x-intercept of the function f(x) = log,(x+5)–2. . log 18 as a single logarithm. log 6 e) Write 3. Create a logarithmic function with the following transformations: → a vertical shift down 4 → a horizontal shift left 3 → a vertical stretch of → a reflection in the y-axis
Graph the following
a) f(x) = 2
+3
Plot at least four points on the graph.
Use the space below to show the point pattern.
(no decimal values and improper
fractions ONLYI)
Plot at least four points on the graph.
Use the space below to show the point pattern.
(no decimal values and improper
fractions ONLYI)
Evaluate.
a) log 0.01
b) log, 625
c) log,
e) logse
Transcribed Image Text:Graph the following a) f(x) = 2 +3 Plot at least four points on the graph. Use the space below to show the point pattern. (no decimal values and improper fractions ONLYI) Plot at least four points on the graph. Use the space below to show the point pattern. (no decimal values and improper fractions ONLYI) Evaluate. a) log 0.01 b) log, 625 c) log, e) logse
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