MATH 1111 ATC Graphs of Exponential Functions Questions

8:36 PMSection 6.2 Graphs of Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | W…
X-9
The graph of f(x)
+ 5 is shifted left 9 units, stretched vertically by a factor of 4, reflected about the x-axis, and
then shifted downward 5 units. What is the equation of the new function, g(x)?
g(x) =
– (3)***
State the y-intercept of g(x).
(x, y) =(
le
)
State the domain and range of g(x). (Enter your answers using interval notation.)
domain
range
Additional Materials
• eBook
• Graph Exponential Functions
Example
Video
.
8:36 PM
Section 6.2 Graphs of Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | W…
X-9
The graph of f(x)
+ 5 is shifted left 9 units, stretched vertically by a factor of 4, reflected about the x-axis, and
then shifted downward 5 units. What is the equation of the new function, g(x)?
g(x) =
– (3)***
State the y-intercept of g(x).
(x, y) =(
le
)
State the domain and range of g(x). (Enter your answers using interval notation.)
domain
range
Additional Materials
• eBook
• Graph Exponential Functions
Example
Video
.
3/21/22, 8:36 PM
Section 6.2 Graphs of Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022,
Describe the end behavior of the graph of the function.
=
–
f(x) = -5(7)* – 8
f(x) →
f(x) →
As x -00,
As x →, :
Additional Materials
• eBook
Graph Exponential Functions
.
Start with the graph of f(x) = 47. Then write a function g(x) that results from the given transformation.
shift f(x) 7 units downward
g(x) =
Additional Materials
O
eBook
Graph Exponential Functions
Start with the graph of f(x) = 6*. Then write a function g(x) that results from the given transformation.
=
reflect f(x) about the x-axis
g(x) =
=
Additional Materials
eBook
Graph Exponential Functions
22, 8:36 PM
Section 6.2 Graphs of Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 202
Find the range of the exponential function. Write the range using interval notation.
у
10
5)
-10
-5
х
10
5
-5
-10
Tutorial
State the asymptote of the exponential function.
у
10
5
IX
-10
-5
5
10
-51
-10
Tutorial
3/21/22, 8:36 PM
Section 6.2 Graphs of Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2011
Find the horizontal asymptote.
f(x)
= 7% + 5
Tutorial
Find the x- and y-intercepts of the exponential function below.
x-intercept
(x, y) =)
(
y-intercept
(x, y) =)
y)
S
у
10
5
-10
-5
5
X
10
-5
-107
Tutorial
121
httpswww.webassign.net/web/Student/Assignment-Responses/last?dep=28280355