a function is defined by the equation y=8x-3. If the domain is 2≤x≤4, find the minimum value in the range of the function.
13
To find the minimum value in the range of the function, we first need to determine the range of the function within the given domain.
We have the function y = 8x - 3.
To find the range, we plug in the minimum and maximum values of the domain and see what values we get for y.
Given that the domain is 2 ≤ x ≤ 4, we will substitute these values into the function:
For x = 2:
y = 8(2) - 3
y = 13
For x = 4:
y = 8(4) - 3
y = 29
So, within the given domain 2 ≤ x ≤ 4, the range of the function is 13 ≤ y ≤ 29.
To find the minimum value in the range, we can see that the minimum occurs at y = 13 when x = 2. Therefore, the minimum value in the range of the function is y = 13.