Question
Find the minimum value of the function
f(x) = 1.7x^2 - 7.1x + 13.3
to the nearest hundredth
f(x) = 1.7x^2 - 7.1x + 13.3
to the nearest hundredth
Answers
GPT 3.5
To find the minimum value of the function, we can use the vertex formula. The vertex formula can be written as x = -b/2a, where a, b, and c are the coefficients of the quadratic function.
In this case, a = 1.7 and b = -7.1. Plugging these values into the formula, we get x = -(-7.1)/2(1.7) = 7.1/3.4 ≈ 2.09.
To find the minimum value of the function, we can substitute this value of x into the original function:
f(2.09) = 1.7(2.09)^2 - 7.1(2.09) + 13.3 ≈ 2.98.
Therefore, the minimum value of the function is approximately 2.98.
In this case, a = 1.7 and b = -7.1. Plugging these values into the formula, we get x = -(-7.1)/2(1.7) = 7.1/3.4 ≈ 2.09.
To find the minimum value of the function, we can substitute this value of x into the original function:
f(2.09) = 1.7(2.09)^2 - 7.1(2.09) + 13.3 ≈ 2.98.
Therefore, the minimum value of the function is approximately 2.98.