Answer:
all values! x ∈ R
Step-by-step explanation:
The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!
Answer:
3.375
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
if y-intercept is 8, means when x = 0, y = 8
8 = 2(− 1)^2 + k
8 = 2 + k
k = 6
Step-by-step explanation:
Given the table:
Month f(x) = Number of imports g(x) = Number of exports
January (1) 3 1
February (2) 4 3
March (3) 5 5
April (4) 6 7
From the table, it is clear that:
Number of imports = number of month + 2
so

also
Number of exports = 2(number of month) + 1
so

Therefore, number of imports equals the number of month plus one. i.e.
, which is a linear function.
If we compare it with slope-intercept form of the line

Then,
slope = m = 1
y-intercept = 2
Also number of exports equals is also a linear function.
i.e. 
Here,
slope = m = 2
y-intercept = -1