Use transformations of the graph of f(x) = e x to graph the given function. Be sure to give the equation of the asymptote. Use the graph to determine the function's domain and range. h(x) = e 2x – 4 Determine the transformations that are needed to go from f(x) = e x to the given graph. Select all that apply. O A. shrink vertically B. shift to the left by 4 units -15 -10 C. shrink horizontally D. stretch horizontally O E. shift to the right by 4 units F. shift downward by 4 units G. shift upward by 4 units H. stretch vertically OI. reflect about the x-axis O J. reflect about the y-axis Graph h(x) and its asymptote. Graph the asymptote as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What equation represents the asymptote of h(x) = e 2x – 4? (Type an equation.) What is the domain of h(x) = e 2x – 4? (Type your answer in interval notation.) What is the range of h(x) = e 2x – 4? (Type your answer in interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Use transformations of the graph of f(x) = e x to graph the given function. Be sure
to give the equation of the asymptote. Use the graph to determine the function's
domain and range.
15-
h(x) = e 2x – 4
104
Determine the transformations that are needed to go from f(x) = e × to the given
graph. Select all that apply.
5-
O A. shrink vertically
B. shift to the left by 4 units
-15
C. shrink horizontally
-54
O D. stretch horizontally
O E. shift to the right by 4 units
-1어
F. shift downward by 4 units
G. shift upward by 4 units
-15
H. stretch vertically
OI.
reflect about the x-axis
J. reflect about the y-axis
Graph h(x) and its asymptote. Graph the asymptote as a dashed line. Use the
graphing tool to graph the function.
Click to
enlarge
graph
What equation represents the asymptote of h(x) = e 2x – 4?
(Type an equation.)
What is the domain of h(x) = e 2x – 4?
(Type your answer in interval notation.)
What is the range of h(x) = e 2x – 4?
(Type your answer in interval notation.)
Transcribed Image Text:Use transformations of the graph of f(x) = e x to graph the given function. Be sure to give the equation of the asymptote. Use the graph to determine the function's domain and range. 15- h(x) = e 2x – 4 104 Determine the transformations that are needed to go from f(x) = e × to the given graph. Select all that apply. 5- O A. shrink vertically B. shift to the left by 4 units -15 C. shrink horizontally -54 O D. stretch horizontally O E. shift to the right by 4 units -1어 F. shift downward by 4 units G. shift upward by 4 units -15 H. stretch vertically OI. reflect about the x-axis J. reflect about the y-axis Graph h(x) and its asymptote. Graph the asymptote as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What equation represents the asymptote of h(x) = e 2x – 4? (Type an equation.) What is the domain of h(x) = e 2x – 4? (Type your answer in interval notation.) What is the range of h(x) = e 2x – 4? (Type your answer in interval notation.)
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