The value of a = 1 and the value of b = 3.5
Find the function attached.
For a function to be continuous over the domain, hence h+(x) = h-(x)
At the endpoint x = 0, hence;
For the right-hand limit,
At the left-hand limit;
At the point where x = 0, f(x) = a
Since the function is continuous, x^3 = √x
Square both sides of the equation
x^3 = √x
x^6 = x
x^5 = 1
x = 1
Also √x = a
√1 = a
a = 1
At the endpoint x = 4,
b = 4 - 1/2 x
b = 4 - 1/2(1)
b = 4 - 0.5
b = 3.5
Hence the value of a = 1 and the value of b = 3.5
Learn more on continuous functions here: https://brainly.com/question/20089539
