What is great about this question is that you aren’t required to give numerical approximations of the rate of change over the interval. This means that you have a lot less work to do than you think.
Start by drawing a dot on each y-coordinate of every given x value in the interval table (-13, -10, -5, -2, and 0). Then, for each interval, draw a straight line between the two y-coordinates of the two x-values given in the interval. So, for interval A, you would draw a straight line from f(-13) to f(-10). This line would have a steep downward slope; this means that the average rate of change over this interval is negative, or less than zero. A satisfies the question.
Interval B has a positive slope between the two y-coordinates, so it doesn’t satisfy the question. Interval C has a line with a slope of 0, but does satisfy the question because it’s asking for average changes less than or equal to zero.
The answer for this problem would be intervals A and C, the answer that is selected.
Answer:
(x-1) and (6x+7)
Step-by-step explanation:
The point-slope form:
m - slope
(x₁, y₁) - point
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept → (0, b)
Convert the given equation to the slope-intercept form:
<em>use distributive property a(b + c) = ab + ac</em>
<em>add 2 to both sides</em>
It is a linear function. We only need two points to plot the graph.
The first point we have from point-slope form → x₁ = -6, y₁ = 2 → (-6, 2).
The second point we have from slope-intercept form → b = 5 → (0, 5)
Answer:
Step-by-step explanation:
(x^4 + 2x^3 - 7x - 9) +
(x^5 - 2x^4 + 8x + 18)
x^5 - x^4 + 2x^3 + x + 9
