Question

10. Find the base of the function F(x)=b^x, if its graph contains the point (1/3,2). A. 3square root 2 B.square root 1/3 C. 8 D. 2square root 2​

Answer 1

Explanation:

To find the base of the exponential function F(x) = b^x, we need to use the information that its graph contains the point (1/3, 2). We can use this information to solve for b.

Since the graph passes through the point (1/3, 2), we can set x = 1/3 and y = 2 in the equation F(x) = b^x:

b^(1/3) = 2

Taking the cube root of both sides, we get:

b = (2)^3 = 8

So the base of the exponential function F(x) = b^x is b = 8, which means the correct answer is C) 8.