Final answer:
To find the exponential function that passes through the given points, substitute the x-coordinate into each equation and solve for the y-coordinate.
Step-by-step explanation:
To find the exponential function that passes through the points, we need to determine the values of the base and the exponent. For each equation given, we can substitute the x-coordinate of the points into the equation and solve for the y-coordinate. Let's go through each equation:
(a) y = 2^x: If the point is (x, y), then substituting the x-coordinate gives y = 2^x.
(b) y = 3^x: If the point is (x, y), then substituting the x-coordinate gives y = 3^x.
(c) y = e^x: If the point is (x, y), then substituting the x-coordinate gives y = e^x.
(d) y = 10^x: If the point is (x, y), then substituting the x-coordinate gives y = 10^x.
By substituting the x-coordinate into each equation, we can determine the corresponding y-coordinate and find the exponential function that passes through the points.