The most rapid rate of change is determined by the base of the exponent in each function.
a. In function a, the base is 3, meaning that the function will increase slowly compared to the other options.
b. In function b, the base is 5, which is larger than the base in function a. This means that function b will increase at a faster rate than function a.
c. In function c, the base is 2, which is smaller than the base in function b. This means that function c will increase at a slower rate than function b.
d. In function d, the base is 2, which is the same as the base in function c. However, function d has a coefficient of 6 in front of the exponent, meaning that it will increase at a faster rate than function c.
Therefore, the function with the most rapid rate of change is d. y = 6(2^x).
Which function has the most rapid rate of change?
a. y = 3(3^x)
b. y = 3(5^x)
c. y = 3(2^x)
d. y = 6(2^x)
1 answer
1 answer