Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1.
Answer:
56°
Step-by-step explanation:
Because the two lines are parallel, the corresponding angles are equal. The two corresponding ∠s are ∠A and ∠B. ∠A=∠B
∠A=4x
∠B=2(x+14)
4x = 2 (x+14)
the right side requires the distributive property
a) 4x = 2x+28
2x = 28
x = 14
b) now plug in x for both ∠s to find ∠A and ∠B
∠A = 4x = 4(14) = 56°
∠B = 2(x+14) = 2(14+14) = 2(28) = 56°
I just did both angles to show that they are equal and it is a way to check your work
Use points (0,3) and (-2,-1)
slope equation - (y2 - y1)/(x2 - x1)
(3-(-1))/(0-(-2)) = 4/2 = 2
slope - 2