1) find the corresponding y values for when x = 0 and when x = 4,
when x = 0, y = 4
when x = 4, y = 4
the coordinates are (0,4) and (4,4)
2) to calculate the average rate of change, find the slope of the two points:
(0,4) (4,4)
(change in y) 4 - 4 = 0
(change in x) 4 - 0 = 4
0/4 = 0
the average rate of change is 0!
The pink bar graph is 150
It would be 26 cents per shell
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)