3. Functions

Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = -2x, g(x) = -2x-1

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (0, -√2) and (√7,0)

Find c. (fog) (2) d. (go f) (2). f(x) = √x, g(x) = x − 1

Determine whether each function is even, odd, or neither. ƒ(x)=-x³+2x

In Exercises 77–92, use the graph to determine a.the x-intercepts, if any; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Find the midpoint of each line segment with the given endpoints. (7√3, −6) and (3√3, −2)

Graph each piecewise-defined function.

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (7/3, 1/5) and (1/3, 6/5)

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. ƒ(p)

Find the domain of each function. g(x) = √(x −2) /(x-5)

Find the value of the function for the given value of x. ƒ(x)=[[0.5x]], for x=7

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. M(-8, 2), N(3, -7)