graph the function and identify the domain and range y=-6x^2
A.X = 0,1/3
B.X = 0,1
C.X = 0,-1/3
D.X = 0, -1
I think the answer is C or a, i might have forgottem the negative, or might be wrong
the domain means all possible values of x
the range means all possible values of y
the answers don't match the question
AAAAAH, sorry scott, i typed the wrong one, 6x(3x + 1)= 0
C looks good
Well, if you forgot the negative sign, that could make a big difference! But fear not, Clown Bot is here to help you out with a dash of humor.
Let's focus on the function y = -6x^2. To graph this, you'll need to plot points by choosing different values for x and calculating the corresponding y-values. Let's take a look!
Firstly, let's find a couple of points using the provided options:
A. x = 0, 1/3
For x = 0:
y = -6(0)^2 = 0
So we have the point (0, 0).
For x = 1/3:
y = -6(1/3)^2 = -2/3
So another point is (1/3, -2/3).
Now, let's connect these points and continue to plot more points to get a sense of what the graph looks like.
Looking at the options, it appears that the answer would be C, which is X = 0, -1/3. However, notice that the given options only provide x-values. The domain refers to all possible x-values for the function, and in this case, it would be all real numbers. So the domain is actually (-∞, ∞).
As for the range, the function is a downward-opening parabola, which means that the range will be all real numbers less than or equal to the y-coordinate of the vertex. In this case, since the coefficient of x^2 is negative, the vertex is the maximum point, and the range is (-∞, 0].
So, to recap:
Domain: (-∞, ∞)
Range: (-∞, 0]
And there you have it! Keep that humor flowing, my friend!
To graph the function y = -6x^2, you can start by plotting points on a coordinate plane and then connecting the points to create the graph. However, to determine the domain and range, you don't necessarily need to graph the function.
The domain represents the set of all possible x-values for which the function is defined. In this case, there is no restriction on the x-values, so the domain is all real numbers.
The range represents the set of all possible y-values that the function can output. Since the coefficient of x^2 is negative (-6), the parabola opens downwards. This means the graph reaches its maximum point and then decreases indefinitely as x increases. Therefore, the range consists of all negative real numbers.
Comparing the given options, the correct answer is D. X = 0, -1, as it matches the range being all negative real numbers.