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ankoles [38]
3 years ago
13

A 2-row table with 9 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3

, 4. The second row is labeled f of x with entries negative 54, negative 20, negative 4, 0, negative 2, negative 4, 0, 16, 50. Which interval contains a local maximum for this function? Which interval contains a local minimum for this function?
Mathematics
2 answers:
Alexeev081 [22]3 years ago
10 0

Answer:

(-2,0)   and (0,2)

Step-by-step explanation: I GOT IT RIGHT ON EDGINUITY

THANK ME LATER!!

artificialcranapplejuice
2 years ago
is it later yet?
Margarita [4]3 years ago
7 0

Answer:

x    -4    -3  -2  -1    0    1   2   3    4

y  -54 -20  -4   0   -2  -4  0   16   50

at 4 it is  maximum .

maximum value=50

hope that helps

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4 years ago
ALGEBRA 1, SEMESTER 2
SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is \frac{y_2-y_1}{x_2-x_1} . Using what we have, we can solve it as such:

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