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}

Let A = {1,2,3}. Define f: A  --> A by f(1) = 2, f(2) = 1, and f(3) = 3. Find  f^2 f^3 f^4. how would you go about solving this for set relations for the chapter on functions

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 graph of y = f(x) is transformed by a horizontal expansion by a factor of 4 and a vertical expansion by a factor of 5. The equation of this new image has the form y = af(bx); find a and b. O a a = 5, 6 = }, 6 = | O a = b = 4 O a = O a = 5, b = 4

Let f and g be any permutations. Show that the order of h=fgf^(-1) is the same as the order of g.

F Suppose that a line passes through the points (5, 2) and (-1, -3). Where will it pass through the x-axis? The graph will pass through the x-axis at Check Q Search X SAMSUNG © 2023 McGraw Hill LLC. All Righ

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 local max and min and draw the graph