Answer:
Part A -> Function
Part B -> Function
Step-by-step explanation:
<u>Concept</u>
A relationship is a function only if there's a single y value corresponding to an x value. It can have the same y value for different x values but it <em>must not have multiply y values for a single x value</em>.
Below is an example
<u>Function</u> <u>Not a Function</u>
<u>x</u> <u>y</u> <u>x</u> <u>y</u>
1 5 1 5
2 6 2 7
3 5 1 6
<u>Part A</u>
Looking at the given graph, we see that the relationship has a single y value corresponding to an x value and so it is a function.
<u>Part B</u>
If there was the same number of bacteria for two consecutive hours it would mean the same y value for different x values. So, it would still remain a function.
Answer:
No. Se below for explanation
Step-by-step explanation:
If it is a right triangle it sides must meet the Pitgoras Theorem, wich says that the legs squared when summed must be equal to the square of the hypotenuse. Here the legs would be the sides of length 10 and 18, as the hypotenuse is always the longest. So we need to see:
10^ 2 + 18^2 = x
if x is equal to 21^2, so we can have a right triangle, if not, we cannot.
10^ 2 + 18^2 = 100 + 324
10^ 2 + 18^2 = 424
But:
21^2 = 441
So, as 10^2 + 18^2 < 21^2 this can not be a right triangle.
Answer:
f(x) = -√(x-4) + 2
Step-by-step explanation:
(a) Start with the basic function: f(x) = √x.
This would be the top half of a horizontal parabola opening to the right (always positive).
(b) The range is y < 2. This includes negative numbers, so the function must be f(x) = -√x.
(c) The function starts at x = -4. We must shift it four units to the left. We do that by adding four units to x. The function must be f(x) = -√(x + 4). The domain is x > -4.
(d) The function starts at y = 2. We must shift it up two units. We do that by adding two units to y. The function must be f(x) = -√(x+4) + 2. The range is y < 2.
The figure below is the graph of f(x) = -√(x+4) + 2.