Answer:
8.925 minutes or 0.14875 hours..?
Step-by-step explanation:
I feel like I'm missing something here... The 3.4 x 105 words seems off. Why didn't they just say 357 words?
Assuming that he types 40 WPM and they're looking for how long it would take for him to type 357 words:
words total
minutes
hours
Answer:
Domain:
Range:
x-intercepts: x= -3, -1, 4
y-intercepts: y=1
Interval increasing: [-2,2]
Interval decreasing: (-4,-2] ∪ [2,4]
Rate of change over [2,4]: -1.5
Step-by-step explanation:
The domain of the function is the area it covers on the x-axis. This function goes from -4 to 4 so the domain would be
The less than symbol is used between -4 and x because the hole is open at x=-4. The less than or equal to symbol is used between x and 4 because the hole is solid at x=4.
The range of a function is the area it covers on the y-axis. This function goes from x=-1 to x=3 so the range would be
The x-intercepts for this function are everywhere the function crosses the x-axis. These are at x= -3, x= -1, and at x=4.
The y-intercepts for this function are everywhere the function crosses the y-axis. The only y-intercept is at y=1.
The intervals that are increasing are the segments on the graph that have a positive slope. The only increasing interval on this graph is from (-2,-1) to (2,3). This can be written as [-2,2] in interval notation.
The intervals that are decreasing are the segments on the graph that have a negative slope. These are from (-4,1) to (-2,-1) and from (2,3) to (4,0). This can be written as (-4,-2] ∪ [2,4]. Note that a parenthesis was used instead of a bracket in part of this expression. This is because of the open hole at x= -4.
The rate of change over an interval is the slope of that interval. Assuming [2,4] is referring to the x-coordinates on the interval, the rate of change can be calculated: