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unit activity: functions
Task 2

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

Step-by-step 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

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