Which function represents g(x), a refection of f(x)=1/2(3)^x across the y-axis

g(x) = (1/2)3^-x  reflection over y axis yields (-x,y)

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

1. perpendicular

2. parallel

3. perpendicular