Lesson 7 Logs Go Viral Practice Understanding

Ready

Fill in the table for each of the given functions.

1.

2.

3.

4.

5.

Using the functions from the first four problems, label each graph with the function that describes it.

A coordinate plane with linear, quadratic, cubic, and quartic functions graphed x–5–5–5555y555000

6.

Identify the point(s) that all of the functions from problems 1–5 share. Explain why this is logical.

7.

Which of the graphs from problems 1–5 have a line of symmetry at ?

Set

8.

A certain bacteria population is known to double every minutes. An experiment is being conducted in a microbiology lab. Suppose there are initially bacteria in a petri dish.

Make a table, graph, and an equation that will predict the number of bacteria in hours.

a.

Complete the table that will predict the number of bacteria in hours.

Time in Hours

Number of Bacteria

b.

Make a graph that will predict the number of bacteria in hours.

Label the scale on both the - and -axes. Make sure you can fit at least points on your graph.

a blank 17 by 17 grid

c.

Write an equation that will predict the number of bacteria in hours.

9.

a.

Between what times, to the nearest of an hour, will the number of bacteria exceed ?

b.

Between what times, to the nearest of an hour, will the number of bacteria exceed ?

10.

Predict the number of bacteria after a -hour period. (Write your answer in scientific notation.)

11.

Write a logarithmic equation that would allow you to find the time when there are bacteria.

12.

Calculate the time when there are bacteria. (Round your answer to three‌ decimals.)

Go

Use the properties of logarithms and the given values to find the value of the indicated logarithm.

Do not use a calculator to evaluate the logarithms.

13.

Given:

Find

14.

Given:

Find

15.

Given:

Find

16.

Given:

Find

17.

Given:

Find

18.

Given:

Find

19.

Given:

Find

20.

Given:

Find