Question

What is the mathematical tool used to calculate an exponential function passing through two points?

a) Slope-intercept form
b) Point-slope form
c) Exponential growth model
d) Two-point exponential equation formula

Answer 1

The mathematical tool used to calculate an exponential function passing through two points is the two-point exponential equation formula. This formula allows you to find the specific exponential function that fits the given points. The correct answer is d) Two-point exponential equation formula.

Step-by-step explanation:

The mathematical tool used to calculate an exponential function passing through two points is the two-point exponential equation formula.

This formula allows you to find the specific exponential function that fits the given points. It takes the form y = ab^x, where a and b are constants.

To calculate the values of a and b, you can use the two points (x1, y1) and (x2, y2) to form a system of two equations.

Plugging in the values and solving the system will give you the values of a and b, which can then be used to write the equation of the exponential function passing through the points.