3. Functions

State the inputs and outputs of the following relation. Is it a function? {$\(\left\)(-3,5\(\right\)),\(\left\)(0,2\(\right\)),\(\left\)(3,5\(\right\))$}

Find the value of the function for the given value of x. ƒ(x)=[[3-(x/2)]], for x=1

Find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x

Let ƒ(x) = -2x² + 3x -6. Find each of the following. ƒ(-0.5)

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

Find (fg) (2).

Determine whether the three points are collinear. (0,-7),(-3,5),(2,-15)

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

Find f/g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

Find fg and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x

Is the equation $y=-2x+10$ a function? If so, rewrite it in function notation and evaluate at $f\(\left\)(3\(\right\))$.

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (-2, 5), radius 4

Describe the graph of each equation as a circle, a point, or nonexistent. If it is a circle, give the center and radius. If it is a point, give the coordinates. x²+y²+4x+14y=-54

Determine whether each function is even, odd, or neither. ƒ(x)=0.5x⁴-2x²+6

Determine whether each relation defines a function. {(9,-2),(-3,5),(9,1)}

State the inputs and outputs of the following relation. Is it a function? {$\(\left\)(2,5\(\right\)),\(\left\)(0,2\(\right\)),\(\left\)(2,9\(\right\))$}