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8-109.

An exponential function has an asymptote at y = 10. The function passes through the points (4, 6) and (7, 8). Find the y-intercept for the function exactly and then calculate it to three decimal places. Homework Help ✎

Write the exponential form:

Substitute each point in for (x, y) forming two equations and two unknowns.

y = (a)bx + 10

6 = (a)(b)4 + 10
8 = (a)(b)7 + 10

Solve for 'a' and 'b' and substitute the contants into the function.

Using the new function, substitute '0' for 'x' and simplify. This is the y-intercept.