Answer:
domain : ] -∞ , 2]
Step-by-step explanation:
the value of 2-x must be more than or equal to 0
because you there is no square root for negative number
2-x ≥ 0
x ≤ 2
Answer:
h(t) = 12 inches + (1 inch/week)t; continuous
Step-by-step explanation:
This situation can be described with a linear function. The initial value of the plant height is 12 inches, and the weekly growth is 1 inch/week.
Thus, if h(t) represents the plant height at the end of the t-th week,
h(t) = 12 inches + (1 inch/week)t
The slope is 1 inch/week, and is continuous, since plan growth is continuous.
If f(-2)=1 and f(1) = 7, then 2 pts on the str. line are (-2,1) and (1,7).
7 - 1
The slope of the line connecting these 2 pts is m = ---------- = 6/3 = 2
1-(-2)
Use the slope-intercept formula. Let the point be (1,7) and the slope be 2:
7 = 2(1) + b; find the y-intercept, b:
7 = 2 + b, so b = 5, and the equation of this line through the 2 given points is then
y = 2x + 5 (answer)