Subject : Algebra 1

Objective : Answer the given questions.

Graph the following exponential functions and determine the y-intercept, domain, range, and asymptote of each function. 1) f(x) = 5(2)" 10 00 -2 - 1 0 1 6 - 4 - 2 - -10 -4 2 4 6 8 10 - 2 - -4- -6 - 10-2) f (x) = 5( 0.5) - 1 0 1 2 10 4 8- 6 - 4 - TO -10 -8 -4 -2 6 8 10 -2 4 6- 8 10Use your graphing calculator for the following problems. 3) Javier wants to invest $3,000 in a mutual fund. He finds an international fund that earns 6% per year. The following function equation represents the account balance for Javier's mutual fund over time: f(t) = 3.000(1.06)'. a. Fill in the given table of values with at least five points generated from the function equation. (Round values to the nearest tenth.) Account Balance ($l b. Graph the given exponential function on the coordinate plane provided. Label the x- and y-axes with appropriate units and scales, if not provided. c. State the domain, range, coordinate of the yintercept, and what the yintercept represents. Is there an asymptote? Why or why not