Determine whether each relation defines a function.

Determine whether each relation defines a function, and give the domain and range. {(1,1),(1,-1),(0,0),(2,4),(2,-4)}

For each piecewise-defined function, find (a) ƒ(-5), (b) ƒ(-1), (c) ƒ(0), and (d) ƒ(3).

Graph each function. See Examples 1 and 2. ƒ(x)=2/3|x|

Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (-1,3), and (3,4)

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

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (5, -4), radius 7

For the pair of functions defined, find (ƒ+g)(x).Give the domain of each. See Example 2.

ƒ(x)=3x+4, g(x)=2x-5

For the pair of functions defined, find (ƒ-g)(x).Give the domain of each. See Example 2.

ƒ(x)=3x+4, g(x)=2x-6

For the pair of functions defined, find (ƒg)(x).Give the domain of each. See Example 2.

ƒ(x)=3x+4, g(x)=2x-7

For the pair of functions defined, find (f/g)(x).Give the domain of each. See Example 2.

ƒ(x)=3x+4, g(x)=2x-8

Determine whether each relation defines a function, and give the domain and range. {(2,5),(3,7),(3,9),(5,11)}

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the mid-point M of line segment PQ. P(6,-2), Q(4,6)

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

Determine whether each relation defines a function, and give the domain and range.

Graph each piecewise-defined function.

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

Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32.

x-intercept (3,0), y-intercept (0,-2)

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (√2, √2), radius √2

For the pair of functions defined, find (ƒ+g)(x).Give the domain of each. See Example 2.

ƒ(x)=2x^2-3x, g(x)=x^2-x+3

For the pair of functions defined, find (ƒ-g)(x). Give the domain of each. See Example 2.

ƒ(x)=2x^2-3x, g(x)=x^2-x+3

For the pair of functions defined, find (ƒg)(x). Give the domain of each. See Example 2.

ƒ(x)=2x^2-3x, g(x)=x^2-x+3

For the pair of functions defined, find (ƒ/g)(x). Give the domain of each. See Example 2.

ƒ(x)=2x^2-3x, g(x)=x^2-x+3

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

For the pair of functions defined, find (ƒ+g)(x), (ƒ-g)(x), (ƒg)(x), and (f/g)(x).Give the domain of each. ƒ(x)=4x²+2x, g(x)=x²-3x+2

Determine whether each relation defines a function, and give the domain and range.

Graph each piecewise-defined function.

Determine whether the three points are the vertices of a right triangle. (-6,-4),(0,-2),(-10,8)

Graph each piecewise-defined function.

Use each graph to determine an equation of the circle in (a) center-radius form and (b) general form.