Consider the exponential functions f, g, and h, defined as shown. function f function g function h f(x) = -2(3)x + 6 x g(x) -1 1 0 4 1 16 2 64 3 256 Determine which function or functions have each key feature. only h(x) only g(x) only f(x) f(x) and h(x) f(x) and g(x) all three functions g(x) and h(x) increasing on all intervals of x arrowRight approaches an integer as x approaches -[infinity] y-intercept at (0,4) x-intercept at (1,0)

answer: procent 54 wynosi 33,33%

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4