Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th
e function is increasing?
2 answers:
Answer:
the largest interval of x values where f(x) is increasing is (-1,1).
Step-by-step explanation:
the domain of f(x) is all real numbers.
As we can conclude from the table that the function f(x) is decreasing from (-3, -1) and the function is increasing from (-1, 1) .
Graphically we can also show this that for the x-values in (1,-1) function is increasing.
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Answer:
The correct answer is: "Option [D]".
Step-by-step explanation:
Hi student, let me help you out!
<u>....................................................................................................................................</u>
Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations! :)
P=Parentheses,
E=Exponents,
M=Multiplication,
D=Division,
A=Addition,
S=Subtraction.
Now let's start evaluating our expression, which is
According to PEMDAS, the operation that we should perform is "E-Exponents".
Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain .
See, we raised both the numerator and the denominator to the power of 2.
Now what we should do is subtract fractions.
Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: . Now let's multiply the denominator and the numerator of the first fraction times 9:
.
See, now the fractions have the same denominator. All we should do now is subtract the numerators: .
∴, the answer is Option D.
Hope this helped you out, ask in comments if any queries arise.
Best Wishes!