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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

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.