Study Guide Question (precalc)

Question

The graph of y=f(x) passes through the points (2,32) and (6,864).

A) Find an expression for f(x) if f is linear function of the form f(x)=mx+b

B) Find an expression for f(x) if f is a power function of the form f(x)=kx^p

Answer 1

A) Use two-point form from Algebra 1

B)

32 = kx⁴

864 = kx⁶

27 = x⁴