Atlanta Technical College Logarithmic Functions and Inverse Functions Questions

3/28/22, 4:59 PMSection 6.4 Graphs of Logarithmic Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | W…
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DETAILS OSCOLALG1 6.4.189.
MY NOTES
ASK YOUR TEACHER
The inverse of every logarithmic function is an exponential function and vice versa. What does this tell us about the relationship between
the coordinates of the points on the graphs of each?
Since the functions are inverses, their graphs are mirror images about the line y =
hi
li
.
So for every point (x, y) = (a, b) on the graph of a logarithmic function, there is a corresponding point ERAMUS
(x, y) = (
li
li
)
on the graph of its inverse exponential function.
Additional Materials
• eBook
●
Graph an Exponential Function and Logarithmic Function
2/12
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28280358Section 6.4 Graphs of Logarithmic Functions – Math 1111_2022_SPR HYB and ONL, section CRN 42360 Page, Spring 2022 | W…
3/28/22, 4:59 PM
State the domain and range of the function. (Enter your answers using interval notation.)
f(x) = log3(x + 1)
h
domain
range
h
Additional Materials
• eBook
• Find the Domain of Logarithmic Functions
Find the range of the logarithmic function. (Enter your answer using interval notation.)
f(x) = log(10x – 140)
li
Tutorial
State the domain and range of the function. (Enter your answers using interval notation.)
h(x) = In(4x + 19) – 7
h
domain
range
b
Additional Materials
• eBook
Find the Domain of Logarithmic Functions
4
/1
hSection 6.4 Graphs of Logarithmic Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 20:
4:59 PM
State the vertical asymptote of the logarithmic function.
f(x) = log3(x + 6)
he
Tutorial
Find the domain of the logarithmic function. (Enter your answer using interval notation.)
f(x) = log(3x – 2)
le
ti
Tutorial
State the domain of the function. (Enter your answer using interval notation.)
g(x)=In(1-x)
li
State the vertical asymptote of the function.
li
le
Additional Materials
• eBook
• Find the Domain of Logarithmic Functions
li
}}
hSection 6.4 Graphs of Logarithmic Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 20:
4:59 PM
State the vertical asymptote of the logarithmic function.
f(x) = log3(x + 6)
he
Tutorial
Find the domain of the logarithmic function. (Enter your answer using interval notation.)
f(x) = log(3x – 2)
le
ti
Tutorial
State the domain of the function. (Enter your answer using interval notation.)
g(x)=In(1-x)
li
State the vertical asymptote of the function.
li
le
Additional Materials
• eBook
• Find the Domain of Logarithmic Functions
li
}}
hSection 6.4 Graphs of Logarithmic Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | W…
3/28/22, 4:59 PM
State the domain of the function. (Enter your answer using interval notation.)
h(x) = -log(5x-6) + 7
h
h
State the vertical asymptote of the function.
hi
11
State the end behavior of the function.
O AS X →
(²), h(x) → ∞. As x → ∞, h(x) → ∞.
O ASX →
(2)*, h(x) → ∞. As x → ∞, h(x) → →∞o.
O As x →
(-²)*, h(x) → ∞. As x → →∞, h(x) → -∞o.
O AS X →
• (5)¯, h(x) → ∞. As x → ∞, h(x) → ∞o.
O ASX→
›(†)*. ,h(x) → ∞o. As x→∞, h(x)→→-00.
Additional Materials
• eBook
• Find the Domain of Logarithmic FunctionsSection 6.4 Graphs of Logarithmic Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | W…
3/28/22, 4:59 PM
State the domain and range. (Enter your answers using interval notation.)
h(x) = log3(x – 2) + 1
li
domain
range
h
State the x- and y-intercepts, if they exist. (If an answer does not exist, enter DNE.)
li
x-intercept (x, y) = (
)
y-intercept (x, y) = (
h
)
Additional Materials
eBook
. Find the Domain of Logarithmic Functions
• Learn by Example
le
li
h
h