Let f and g be two rulers for the same line l in a m.g. Show that    g=f_{a,epsilon} for some real number a and epsilon in {1,-1}

write the e quation of an expone entia l function whose graph passes through the given points (0,-5) and (3,-135)

The graph attached shows the curves y = x^3 and y^3=x. a.) Explain why both of these curves are functions. b.) For the curve y^3=x, write y as a function of x.

The population in the city of Zzyzx has been decreasing linearly for the past 7 years when the population was 2550. This year the population was calculated to be only 800 people. A) Express the population of the town of Zzyzx, P, as a function of t, the number of years since the population began to decline. Make sure to use function notation

Find the equation for the line passing through (5, -4) and (-1, -1) and then use that information to choose which of the following points *also* lies on that line. O (5, -1) O (-4,5) O (-4, 0.5) O (-4,-1)

Create 1 function for each of the following parts which has the following domain: a) [0, ∞)  b) (0, ∞)  c) (−∞, −10) ∪ (−10, ∞)  d) (−∞, 2) ∪ (5, ∞) e) (1, 3)