Find the largest open interval where the function is increasing. correct answer will get brainliest
1 answer:
Answer:
<em>Correct answer: C. (1,∞)</em>
Step-by-step explanation:
<u>First Derivative</u>
Given a real continuous function f(x), the first derivative f'(x) represents the slope of the tangent line for any value of x.
If the slope of the line is positive, then the function is increasing, if the slope of the line is negative, the function is decreasing.
The function to analyze is:
Computing the first derivative:
The function will be increasing when:
Dividing by 2:
Solving:
x > 1
This solution is represented by the interval (1,∞)
Correct answer: C. (1,∞)
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Answer:
substitute that value for x in the polynomial and see if it evaluates to zero
Step-by-step explanation:
A "zero" of a polynomial is a value of the polynomial's variable that make the expression become zero when it is evaluated. As an almost trivial example, consider the polynomial x-3. The value x = 3 is a zero because substituting that value for x makes the expression evaluate as zero.
3 -3 = 0
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Evaluating polynomials can be done different ways. Straight substitution for the variable is one way. Using synthetic division by x-a (where "a" is the value of interest) is another way. This latter method is completely equivalent to rewriting the polynomial to Horner form for evaluation.
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In the attachment, Horner Form is shown at the bottom.
