For the first interval (-1, 2), f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
<h3>
Over which interval the rate of change is zero?</h3>
For a function f(x) we define the average rate of change over the interval (a, b) is defined as:
R = (f(b) - f(a))/(b - a)
Here the function is:
f(x) = x^2 - x -1
And the rate of change will be zero on an interval (a, b) if and only if:
f(b) = f(a).
Notice that the first interval is (-1, 2)
f(-1) = (-1)^2 - (-1) - 1 = 1 + 1 - 1 = 1
f(2) = 2^2 - 2 - 1 = 4 - 2 - 1 =1
Then f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
If you want to learn more about average rate of change:
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Answer:
The answer to your question is: letter B
Step-by-step explanation:
Function definition: a function is a relation from a set of inputs to a set of outputs.
The most important about functions is that each input is related to one and only one output. Then there are not repeated values of inputs.
In the exercise, the inputs are -10, -25, -5, and the outputs are 5, 10, 15 and 20.
So, to solve this exercise, look for a number in the options that will not be repeated in the inputs,
Then,
- 20 is a possible option because is not repeated
-5 is not an option to complete the table because 5 already exist.
- 15 is a possible option because is not repeated previously.
To find graph this, you need to understand the equation.
The formula is y=mx+b, m being slope and b being y-intercept.
We start out graphing by finding where the y-intercept is--and we see that our intercept is 2. Place a point on (0, 2).
Now, we need to add our slope. Start at (0, 2) and go up 4 units. Next go to the LEFT (we have a negative slope, remember?). Continue this pattern.
It should look like this once it's done:
Answer:
The answer is option 1.
Step-by-step explanation:
In order to solve x, you have to make x the subject, by multiplying each sides by 5, to get rid of 5 on the left side.
Answer:
Oakdale
Step-by-step explanation:
The median can be seen inside the rectangle in the box-and whisker plot. It is the point in the middle, cutting the rectangle in two. Looking at the plots, Oakdale has a lower median.
