Answer: It decreases on the interval (-infinity, 3)
This is the same as saying -infinity < x < 3, or simply x < 3
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Work Shown:
f(x) = (3−x)^2 + 5
f(x) = (-x+3)^2 + 5
f(x) = (-1(x-3))^2 + 5
f(x) = (-1)^2*(x-3)^2 + 5
f(x) = 1(x-3)^2 + 5
The last equation is in the form y = a(x-h)^2 + k
We have a = 1, h = 3 and k = 5
The vertex is (h,k) = (3,5)
Since 'a' is positive, this means the function decreases on the left and increases on the right (forming a parabola that opens upward). See below.
So the function is decreasing when x < 3, which represents everything to the left of the vertex.
We can expand that out to -infinity < x < 3 which converts to the interval notation (-infinity, 3)
Answer:
D. Both a relation & a function.
Step-by-step explanation:
A relation is a set of one or more ordered pairs. A function is a relation in which each input has exactly one output. A set of ordered pairs represents a function if, for every value of x, there is only one value of y. In the given situation, the x-coordinate is the number of weeks since she starts recording and the y-coordinate is the number of books read per week. It can be seen from the given set that each x-value corresponds with exactly one y-value. Therefore, the set of ordered pairs is best described as both a relation and a function.
D. The slope is the same between any two points because it is linear.
The answer should be y=12 but I’m not to sure tbh