Answer:
1) a)The function g is decreasing over the longest interval
b) The function g has the lowest y-intercept
2) a) The function h has the highest y-intercept
b) The function h is increasing over the longest interval
Explanation:
The given functions are;
1) The function f has y-intercept is (0, 1)
The function increases from 0.5 < x ≤ ∞
2) The function g has y-intercept of the function occur at the point (0, -1)
The function is continuously decreasing for all the given x-values
Therefore, the function is decreasing over the longest interval
The function has the lowest y-intercept
3) The function h is the sum of 3 and four times the cube of x, which gives;
h = 3 + 4×x³
Therefore, the function has the highest y-intercept = 3
The function increases from 0 ≤ x ≤ ∞
Therefore, the function is increasing over the longest interval