The graph of a function $ f $ and $ g $ are given.
(a) State the values of $ f(-4) $ and $ g(3) $.
(b) For what values of x is $ f(x) = g(x) $?
(c) Estimate the solution of the equation $ f(x) = -1 $?
(d) On what interval is $ f $ decreasing?
(e) State the domain and range of $ f $.
(f) State the domain and range of $ g $.
In this section we discussed examples of ordinary, everyday functions: Population is a function of time, postage cost is a function of weight, water temperature is a function of time. Give three other examples of functions from everyday life that are described verbally. What can you say about the domain and range of each of your functions? If possible, sketch a rough graph of each function.
when you have functions like F of X and G of axe and H of X, and so on. The letter you choose to use for the input is really arbitrary. There's nothing sacred about using X. There's nothing sacred about using you. So this function here, which is currently called F of X. It's the same function if I call it f of you. And if I replace all the exes with use, it means the exact same thing. And this function g over here, it's the exact same function. If I replace all the use with exes, so are these the same function G of X equals X plus two plus the square to minus U f of X equals X plus square to minus you. Yes, those are identical.