Answer:
Explanation:
Use two ordered pairs from the table to find the slope of f(x):
- (-4, - 9) and (6, 6)
- m = (6 - (-9)) / (6 - (-4)) = 15/10 = 1.5
Find the equation of f(x) using point-slope form:
- y - y₁ = m(x - x₁)
- y - (- 9) = 1.5(x - (-4))
- y + 9 = 1.5(x + 4)
The y-intercept is the value of y when x = 0:
- y + 9 = 1.5*4
- y + 9 = 6
- y = - 3
Use two points on the graph and find the slope of g(x):
- (0, 4) and (1, - 3)
- m = (- 3 - 4) / 1 = - 7
Find the required sum: