Algebra

Take Home 11 MATH151 Name ___________________________

1. Answer the questions below concerning exponential equations. (2 points each) (a) Sketch an example function of the (b) Consider the case where 0< w < 1. What would be different form f(x) = where w > 1 between the graph of this function and the one in (a)? Sketch a graph and write a description.

(c) No matter what “w” is, what point (d) Why does this always (e) What are the domain and is the same on your graphs? stay the same? range of your graphs?

(label this point as P on (a) and (b)

and tell coordinates here) D =

Point is ( , ) R =

2. There were approximately 2.3 million 3. Use the model from part 2 to viewers of an awards show in 2005. There determine how many people will were 1.9 million viewers of the same show in watch the awards show in 2017. 2009. Letting t = 0 correspond to 2005, find an (1 point) exponential model of the form that corresponds to this data. (3 points)

4. Find the equation in slope-intercept form 5. (a) Rewrite as a sum and/or difference of logs

of the tangent line to with all arguments to the first power. (1.5 pts)

f(x) = (3x2 – 2x + 7)(4 + 3x – 2x2) at x = -2 (3 points)

(b) Combine into a single logarithm (1.5 pts)