What is the value of the y-intercept of the graph f(x) = 10.5(3.8)^x?
The y-intercept occurs when x = 0. So, to find the value of the y-intercept, we plug in x = 0 into the equation:
f(0) = 10.5(3.8)^0
Since any number raised to the power of 0 is 1, we can simplify this to:
f(0) = 10.5(1)
which gives us:
f(0) = 10.5
Therefore, the value of the y-intercept of the graph is 10.5.