The curve passes through the point .

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The curve

y=a^x

passes through the point

(3,125)

. (i) Find the value of

a

. (ii) Sketch the curve and label the intercept with the y–axis and the equation of its horizontal asymptote.