Answer:
a.
<u>Increasing:</u>
x < 0
x > 2
<u>Decreasing:</u>
0 < x < 2
b.
-1 < x < 2
x > 2
c.
x < -1
Step-by-step explanation:
a.
Function is increasing when it is going up as we go rightward
Function is decreasing when it is going down as we go rightward
We can see that as we move up (from negative infinity) until x = 0, the function is increasing. Also, as we go right from x = 2 towards positive infinity, the function is going up (increasing).
So,
<u>Increasing:</u>
x < 0
x > 2
The function is going down, or decreasing, at the in-between points of increasing, that is from 0 to 2, so that would be:
<u>Decreasing:</u>
0 < x < 2
b.
When we want where the function is greater than 0, we basically want the intervals at which the function is ABOVE the x-axis [ f(x) > 0 ].
Looking at the graph, it is
from -1 to 2 (x axis)
and 2 to positive infinity
We can write:
-1 < x < 2
x > 2
c.
Now we want when the function is less than 0, that is basically saying when the function is BELOW the x-axis.
This will be the other intervals than the ones we mentioned above in part (b).
Looking at the graph, we see that the graph is below the x-axis when it is less than -1, so we can write:
x < -1
<span>Pythagorean Theorem</span><span>
</span>=9²+11²
c=202
c=14.21
9514 1404 393
Explanation:
As written, the equation is not an identity. Perhaps you want to show ...
(csc(x) +cot(x))² = (cos(x) +1)/(1 -cos(x))
__
We will transform the left-side expression to the form of the right-side expression.
Answer:
Scalene triangle: A triangle with no congruent sides. Isosceles triangle: A triangle with at least two congruent sides. Equilateral triangle: A triangle with three congruent sides. (For the three types of triangles based on the measure of their angles, see the article, “Identifying Triangles by Their Angles.”)
Step-by-step explanation:
