Question

Write the equation in exponential form using the two points (0,1) and (1,3)

Answer 1

Answer:

$y=3^x$

Step-by-step explanation:

The equation of the function in exponential form is

$y=a\cdot b^x$

The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:

$1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3$

Thus, the equation of the function is

$y=3^x$