The attached image completes the question.
Answer:
- The part (0, 12000) is constant and the slope is zero
- The part (12000, 38000) is decreasing and slope is negative 0.26.
Step-by-step explanation:
Checking the given graph, we see that
For x = 0 to x = 12,000, the values of y are unchanged. For this, we say it is constant.
The slope here is: 0.85 - 0.85 = 0
For x = 12,000 to x = 38,000, the values of y are decreasing. For this, we say it is negative.
The slope here is: 0.59 - 0.85 = -0.26.
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)