04.05 Graphing Exponential FunctionsAssignment Instructions

Gordon is evaluating some stocks he wants to purchase. You can see the function of the stock price below. The variable x represents daysStockABC

Pricef(x) = 25(1.08)x

xF(x)

022.00

121.56

221.13

The initial price of this stock is $30, but it has been increasing 4% each day.

Create the price function for Stock D. It should have the second lowest starting price and the second highest rate of growth. Using complete sentences, justify that your function meets these requirements.Step 1: Write equations for each Stock (fill in the blanks)StockABCDValues for D

Starting price2522302623

Rate of growth8% each day5% each day4% each day3% each day6% each day

Equationf(x) = 25(1.08)xf(x) =22(1.05)xf(x) =30(1.04)xf(x) =26(1.03)xf(x) =23(1.06)x

Why it meets the requirement.The reason why stock D represents the required estimates is because it was asking for the second lowest initial price between the numbers 25 and 30 so I picked 26, which is the equipment. Then it asked me for the prices from the initial prices rate of growth and Cs rate of growth. Which the number is 3%.

Graph the price function for Stock D in Geogebra. Past your graph below:

Explain the key features of the graph with complete sentences. What is the y-intercept?26

What does the y-intercept represent?

Is this a growth function? Why?yes

What is the rate of growth?3%

A recent drop in sales has affected Stock D with the function g(x) = 6. Explain to Gordon how Stock Ds new price function, f(x) + g(x), will be created. Graph f(x) + g(x). Hint: Does this shift the function up or down? Past your graph from Geogebra here:

Gordon wants to fully understand what kind of changes could affect the money he is investing. Using complete sentences, explain the effect of the following transformations. Graph them and f(x) on the same coordinate plane. FunctionTransformation from f(x)

f(x + 2)

f(x)

f(x) + 3