Evaluate the expression and enter your answer in the box below. 8 + -9 Answer here
1 answer:
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Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:
If , that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If , that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:
From the graph, we already see that it opens down and has a max, and analitically, since , this is confirmed. The correct answer is given by option b.
Answer:
a) , b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.
b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:
The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:
According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:
The exact solution is , indicating that graphic solution leads to a good approximation.
