Q4. Consider the functions

f(x) = and g(x) = [0, 0≤x x<0

1, 0≤x

In each part, is the given function continuous at x =

0?

(a) f(x) (b) g(x) (c) f(-x) (d) [g(x)]

(e) f(x)g(x) (f) g(f(x)) (g) f(x) + g(x)

Arectangle plot measure 20ft. by 30ft. a 3-ft.-wide sidewalk surrounds it.find the area of the sidewalk.

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.

Consider the function below. which of the following functions could be the inverse of function f? pic below