Answer:
(C)−3 ≤ x ≤ 1
Step-by-step explanation:
The average rate of change of function h over the interval
, is given by this expression:

Given the function
on the interval:− 3 ≤ x ≤ 1

The average rate of change:

Therefore, the function has a negative average rate of change over the interval − 3 ≤ x ≤ 1.
CHECK:
(A)Average rate of change of h(x) over the interval − 3 ≤ x ≤ 5=2
(B)Average rate of change of h(x) over the interval 1 ≤ x ≤ 4=5
(D)Average rate of change of h(x) over the interval − 1 ≤ x ≤ 5=4
<span>The y-intercept of is .
Of course, it is 3 less than , the y-intercept of .
Subtracting 3 does not change either the regions where the graph is increasing and decreasing, or the end behavior. It just translates the graph 3 units down.
It does not matter is the function is odd or even.
is the mirror image of stretched along the y-direction.
The y-intercept, the value of for , is</span><span>which is times the y-intercept of .</span><span>Because of the negative factor/mirror-like graph, the intervals where increases are the intervals where decreases, and vice versa.
The end behavior is similarly reversed.
If then .
If then .
If then .
The same goes for the other end, as tends to .
All of the above applies equally to any function, polynomial or not, odd, even, or neither odd not even.
Of course, if polynomial functions are understood to have a non-zero degree, never happens for a polynomial function.</span><span> </span>
Answer:
X ints = (-1,0) , (3,0)
Y int = (0, -3)
Minimum (as it infinitely extends positively, but does not go down all the way)
Min point = (1,-4)
Step-by-step explanation:
Answer:
The other two angles are 75° and 125°.
Step-by-step explanation:
Let three angles are 2x, 3x and 5x.
The smallest angle is 50.
It means,
2x = 50
x = 25
So,
3x = 3(25) = 75°
5x = 5(25) = 125°
So, the other two angles are 75° and 125°.
I drew it out below (don't you just love my effort? XD)
You're gonna use the sine trig function to find the length of the shadow
sin26 / 1 = 43 / x; now you cross multiply
sin26 x = 43; divide both sides by sin26
x = 43 / sin26
x = 98 which is the shadow
Hope this helps!