91Ó°ÊÓ

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. $$(f-g)(x)\( and \)(f-g)(6)$$

Explain how to determine whether a relation is a function. What is a function?

Does \(f(x)\) mean \(f\) times \(x\) when referring to function \(f ?\) If not, what does \(f(x)\) mean? Provide an example with your explanation.

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. $$f(-2)-g(-2)$$

For people filing a single return, federal income tax is a function of adjusted gross income because for each value of adjusted gross income there is a specific tax to be paid. By contrast, the price of a house is not a function of the lot size on which the house sits because houses on same-sized lots can sell for many different prices. a. Describe an everyday situation between variables that is a function. b. Describe an everyday situation between variables that is not a function.

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. $$f(-3)-g(-3)$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Today's temperature is a function of the time of day.

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. $$(f g)(x)\( and \)(f g)(2)$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. My height is a function of my age.

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. $$(f g)(x)\( and \)(f g)(3)$$