What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]? and my answers are
2
3
5
6

Choice C) 5




Explanation:

Step 1) Draw a vertical line through -1 on the x axis. This vertical line crosses through the point (-1,-5) which is a point on the hyperbola.

Step 2) Draw a vertical line through 1 on the x axis. This line crosses the hyperbola at (1,5).

Step 3) Find the slope of the line through the two points (-1,-5) and (1,5) using the slope formula

m = (y2 - y1)/(x2 - x1)
m = (5 - (-5))/(1 - (-1))
m = (5 + 5)/(1 + 1)
m = 10/2
m = 5

The slope of the line is 5. This is the same as saying the average rate of change is 5. The average rate of change is over the interval [-1,1] which is the same as the interval -1 <= x <= 1

Note: writing "<=" without quotes means "less than or equal to".

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle