1. At what point does the exponential function overtake the linear function on the interval(0,)? [answer must be as an ordered pair with no spaces.] f(x)=x+2 g(x)=2x

2. Consider the functionf(x)=3(0.75)xto answer the following questions. Part A - From just looking at the equation of the function, would you expect the average rate of change for this function to be positive or negative? Explain your reasoning. Part B - Find the average rate of change on the interval [-1, 1]. Show all of your work.

3. Jax is running a marathon and plans to pace himself by running 9 miles per hour. Show an equation to represent the distance, d, Jax will have traveled after running for h hours. A.h=9d B.h=d9 C.d=9h D.d=h9

4. Which of the following can be modeled by an exponential function? A. The amount of an isotope that remains over time given that we start with 800 mg and the isotope has a half-life of 36 hours.

B. An online streaming service charges a flat fee of $5 per month and $1.50 for each movie rented.

C. Two trains are 275 miles away from each other. Train A is traveling towards Train B at 35 miles per hour while Train B is traveling towards Train A at 50 miles per hour.

D. The amount of money in your piggy bank over the course of four months given that your aunt gives you $10 every week and you save the full amount.