3. Functions

Determine the intervals of the domain over which each function is continuous.

Give a rule for each piecewise-defined function. Also give the domain and range.

Fill in the blank(s) to correctly complete each sentence. For the function ƒ(x) = -4x + 2, ƒ(-2)= ______.

Find the domain of each function. f(x)=3(x-4)

Find the domain of $f\(\left\)(x\(\right\))=\(\sqrt{x+4}\)$ . Express your answer using interval notation.

Determine whether the three points are the vertices of a right triangle. (-4,1),(1,4),(-6,-1)

Graph each equation. 2x +5y = 20

Determine whether each relation defines y as a function of x. Give the domain and range. y=-7/(x-5)

Graph each equation. 3y = x

Use the graphs of f and g to solve Exercises 83–90.

Find the domain of ƒ/g.

For each graph, determine whether y is a function of x. Give the domain and range of each relation.

Find f + g, f - g, fg, and f/g. f(x) = x² + x + 1, g(x) = x² -1

An equation that defines y as a function of x is given. Find ƒ(3). y+2x²=3-x

Choose the correct answer: For function ƒ, the notation ƒ(3) means

A. the variable f times 3, or 3f.

B. the value of the dependent variable when the independent variable is 3.

C. the value of the independent variable when the dependent variable is 3.

D. f equals 3.

Determine whether each relation defines y as a function of x. Give the domain and range. y=-√x