Answer:
You cannot simplify this problem down anymore; it is at its simplest form.
Step-by-step explanation:
You cannot add together x^4 and x^2 due to the simple fact that they do not share similar exponents.
For example you could add together x^4 and x^4 to get 2x^4. But you cannot add x^4 and x^2.
Try the last one; it doesn't mention anything foreign.
Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:
y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5
To try to discard one of them, let us use the vertex, which is at x = -2.
With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.
Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.
Then, the answer is 2x^2 + 8x -5
Answer:
C) The domain represents the weeks that have passed since Samantha started counting the kittens. The domain is all whole numbers.
Step-by-step explanation:
The problem statement tells you the independent variable w represents weeks that have passed. "Domain" refers to values the independent variable may have, so choices A or B make no sense here.
Time is measured continuously, and fractions of a week are possible. So, the domain could be <em>non-negative real numbers</em>. However, the answer choice D is "<em>all</em> real numbers", which includes negative numbers for which the function makes no sense.
The domain "all whole numbers" includes non-negative integers. It is reasonable to restrict the domain to non-negative integer numbers of weeks, so answer choice C is the best option.