Answer:
Seems like someone answered them, because the red writing is right, but here's the answers with explanation
Step-by-step explanation:
- The vertex is the point at which the graph changes direction as we go from left to right.
- Maximum means the graph is changing direction and going down, so the f(x)-values start becoming smaller. So the graph reached its maximum/highest point and dropped.
- Minimum means the graph is changing direction and going up, so the f(x)-values start becoming bigger. So the graph reached its minimum/lowest point and started rising
- Now the answers:
- Vertex is (-1,0) because if you look at the numbers for f(x) they go, 4 then 1, then 0, but instead of getting smaller they start getting bigger, so it changes as this point and goes up so <em>minimum</em>
- vertex is (3,44), when you look at f(x) it goes 143, then 88, then 55, then 44, then it changes and starts getting bigger so <em>minimum</em>
- vertex is (-4,-5) but this one is different from the first two. f(x) starts with -17 then -9, then -5, then it sort of stops and stays there, then -5 then drops and gets smaller. So it changes at x=-4 so use this point, immediately before the change and it is <em>maximum</em>
- Vertex is (21,500) because f(x) was getting bigger but then it changes and goes down and becomes smaller, so it is <em>maximum</em>
- vertex is (1.5,6) the point immediately before the change, and we see f(x) was getting smaller going down, but it changes and goes up and gets bigger so it is <em>minimum</em>
- vertex is (0.5,5) because it was getting big then changed and started getting smaller so <em>maximum</em>
Answer:
Step-by-step explanation:
The domain represents the x-values
The range represents the y-values
Domain Range
3 7
8
-2
4
1
This relation is not a function because the domain value was used more than one time.
Answer:
3962.96 is the radius
Step-by-step explanation:
r=C
2π=24900
2·π≈3962.95808
Hope this helps. I'm really sorry. We all struggling out here. We can do it!!
Answer:
45
Step-by-step explanation:
The equation is in vertex form a(x-p)^2 + q, ergo giving us the highest point of the parabola, so q (in this case 45 is the highest point in meters, where p multiplied by (-1) is the time taken to reach that height
Answer:
The value of 
is -30.
Step-by-step explanation:
Let 
, we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:
(1)
(2)
(3)
From (3) we find the least root:
![x = \sqrt [3]{\frac{8}{27}}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%7B%5Cfrac%7B8%7D%7B27%7D%7D)
By (2) we have the value of :
