a graph with the points (0,-3) (2,-4) (-2,-4)
What would be the domain, range x-intercepts y-intercepts and funtional value..
Help Please?..
just given three points, there's no way to tell anything in general about the function. All we know is
the domain includes {-2,0,2}
the range includes {-4,-3}
y-intercept at y = -3
no x-intercept given
there are many functions which contain these three points:
y = -|x/2| - 3
y = 1/2 cos(π/4 x) - 3.5
y = cos(π/2 x) - 3
y = -x^2/4 - 3
y = 1/4 x^4 - x^2 - 3
and so on
Thanks?..
Same Type of question...
cAn you tell me if these are maybe right?..
1. points of (2,2) (-1,4) (2,6)
Domain:(-4,2,6)
range:(2,2)
xIntercept: none
y-Intercept: none
functional value: x^2+2
domain: {-1,2}
range: {2,4,6}
domain is the x-coordinate (1st value)
range is the y-coordinate (2nd value)
f(x) is certainly not x^2 + 2
(-1)^2 + 2 = 3, not 4
(2,6) fits, but (2,2) does not.
In fact, since (2,2) and (2,6) contain the same x-value, but different y-values, these pairs are not even a function.
To answer these questions, let's start by plotting the given points on a graph:
(0, -3), (2, -4), (-2, -4)
To find the domain, we need to determine the set of all possible x-values in the graph. Looking at the given points, we can see that the x-values can be any real number since there are no restrictions mentioned in the question. So, the domain is (-∞, ∞).
To find the range, we need to determine the set of all possible y-values in the graph. Looking at the y-values from the given points, we can see that the range includes -4 and -3. So, the range is [-4, -3].
To find the x-intercepts, we need to find the values of x at which the graph crosses the x-axis. In other words, we need to find the points where y = 0. From the given points, we can see that there are no x-intercepts (points where the graph crosses the x-axis) since there is no point with a y-value of 0.
To find the y-intercept, we need to find the value of y when x = 0. Looking at the first given point (0, -3), we can see that the y-intercept is -3.
To find the functional value, we need a specific value of x to calculate the corresponding value of y. Without additional information or a specific value of x, it is not possible to determine a functional value.
Therefore, for the given points (0, -3), (2, -4), and (-2, -4), we have determined:
- Domain: (-∞, ∞)
- Range: [-4, -3]
- X-intercepts: None
- Y-intercept: -3
- Functional value: Not enough information provided.