1.
\(\left( 0,50 \right) \) and \(\left( 3,400 \right) \)
Section 1.3 Exponential Functions
These exercises find the formula for an exponential funciton given a pair of input-output coordinates.
Exercises Exercises
Find the Formula.
In Exercises 1–6, find an algebraic rule for an exponential function \(f\) that passes through the given two points.
2.
\(\left( 0,4 \right) \) and \(\left( 4,\frac{1}{4} \right) \)
3.
\(\left( -1,\frac{2}{3} \right) \) and \(\left( 2,18 \right) \)
4.
\(\left( -2,\frac{125}{8} \right) \) and \(\left( 1,8 \right) \)
5.
\(\left( -2,125 \right) \) and \(\left( 3,\frac{1}{25} \right) \)
6.
\(\left( -3,\frac{27}{16} \right) \) and \(\left( 3,\frac{4}{27} \right) \)
