Question

Write an exponential function whose graph passes through the points (-1, 1.5) and (4, 48).

A) y = 1.5(4^x)
B) y = 1.5^(4x)
C) y = 4(1.5^x)
D) y = 4^(1.5x)

Answer 1

To find the exponential function passing through two points, one must substitute the points into the general form of the exponential function and solve for the constants.

Step-by-step explanation:

The student has asked for help in determining which exponential function passes through the points (-1, 1.5) and (4, 48). To find this, we can substitute the points into the exponential function formula, y = abx, where a is the initial value and b is the base.

Substituting the first point (-1, 1.5) gives us 1.5 = a*b-1 and substituting the second point (4, 48) gives us 48 = a*b4. Solving this system of equations will help us determine the correct values of a and b. Then, we can match the resulting function to one of the provided choices.