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Lesson 9.2 Graph Logarithmic Functions

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Last updated over 1 year ago
10 questions
Note from the author:
I can graph logarithmic functions.
I can graph logarithmic functions.
Algebra Time
1
2
2
2
2
2
Eyes
2
Customer Loyalty
2
2
2
Question 1
1.

Complete the table of values for the function

Question 2
2.

Identify the coordinates of the reference points and vertical asymptote of the given function g(x). Then sketch a graph of g(x).

Question 3
3.

Identify the coordinates of the reference points and vertical asymptote of the given function g(x). Then sketch a graph of g(x).

Question 4
4.

Identify the coordinates of the reference points and vertical asymptote of the given function g(x). Then sketch a graph of g(x).

Question 5
5.

Identify the coordinates of the reference points and vertical asymptote of the given function g(x). Then sketch a graph of g(x).

Question 6
6.

Identify the coordinates of the reference points and vertical asymptote of the given function g(x). Then sketch a graph of g(x).

Question 7
7.

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After the age of about 25 years, the average size of the pupils in a person’s eyes decreases. An approximate model for the average pupil diameter d (in millimeters) under low-light conditions as a function of age a (in years) is

At about what age does the average diameter fall below 6 millimeters?

A small bookstore starts a customer loyalty program. Over the first year, the total number of customers who have signed up can be modeled by the function shown in the photo, where c is the number of customers and w is how many weeks the program has been in effect.

Question 8
8.

Graph c(w), using reference points at w = 0, 1, 3, 7, 15.

Question 9
9.

What is a reasonable domain for this context?

Question 10
10.

From the model, would you predict that at least 410 people will have signed up by the end of the year? Explain your reasoning.