1.

Identify whether the statement represents an exponential function.

The height of a projectile at time t is represented by the function h(t)=?4.9 t^2+18 t+40

a) Yes, the statement represents an exponential function.

(b) No, the statement does not represent an exponential function.

Show your work and explain, in own words, how you arrived at your answer.

2.

For each year t, the number of trees in Forest A is represented by the function A(t)=93(1.025)^t. In a neighboring forest, the number of trees in Forest B is represented by the function B(t)=81(1.029)^t

Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 25 years? By how many?

Round your answerto the nearest tree.

Forest__________will have____________more trees.

3.

Use the compound interest formula, A(t)=P(1+r)^nt

After a certain number of years, the value of an investment account is represented by the expression10,350(1+0.04/12)^144. What is the value of the account?

Round your answer to two decimal places.

The value of the account is$___________

4.

In the year 1985, a house was valued at $102,000. By the year 2005, the value had appreciated to $149,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?

Round your answers to two decimal places.

The annual growth rate between 1985 and 2005 is____________%%.

The value of the house in the year 2010 is____________.

5.

Describe the end behavior of the graph of the functionf(x)=5(4)^x ?4

For?, type in the word infinity. For??, type in -infinity (a minus sign followed by the word infinity). Make sure that you type in the word infinity with a lower case i.

Asx???,f(x)?

Asx??,f(x)?

6.

Question 11: (3 points) The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula log 1 ) = M1 - M2 using the common (base 10) logarithm and where M is the magnitude given by the Richter Scale. In August 2009, an earthquake of magnitude 6.1 hit Honshu, Japan. In March 2011, that same region experienced yet another, more devastating earthquake, this time with a magnitude of 9.0.(1) How many times greater was the intensity of the 2011 earthquake? Round to the nearest whole number. The intensity of the 2011 earthquake was _ times greater than the intensity of the 2009 earthquake