A business owner opened two different types of investment accounts at the start of the year. The functions `f` and `g\ `represent the values of the two accounts as a function of the number of months after the accounts were opened. 1. Here are some true statements about the investments accounts. What does each statement mean? a. `f\left(3\right)g\left(3\right)` b. `f\left(6\right)

Question

A business owner opened two different types of investment accounts at the start of the year. The functions `f` and `g\ `represent the values of the two accounts as a function of the number of months after the accounts were opened.

1. Here are some true statements about the investments accounts. What does each statement mean?

a. `f\left(3\right)>g\left(3\right)`

b. `f\left(6\right)<g\left(6\right)`

c. `f\left(m\right)=g\left(m\right)`

2. If the two functions were graphed on the same coordinate plane, what might it look like? Sketch the two functions.

Vocaloid · Answer

in general, f(x) is the value of the function f at the value x.

so f(3), for example, is the value of f at x = 3.

for part 1, think about what these statements mean in the context of the problem. for example, the first one, f(3) > g(3), means f(3) is greater than g(3), and in the real-life context, it means the value of investment account f is greater than g at 3 months.

try to do 1b and 1c using this same logic

for part 2) we're not given a lot of information about the accounts, but they both should have some positive initial amount, since you generally need to deposit money into an account when you open it, and generally, we would expect both to grow gradually over time. maybe there are some dips where the investments aren't doing well. try making up two functions and graphing them together.