Answer
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Step-by-step explanation
4) The domain refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists. It is the region around the x-axis that the graph spans.
From the graph of this relation presented, the domain of this spans from x = -2.5 upwards.
Domain is (x > -2.5)
The range refers to the region of values where the function can exist. It refers to the values that the dependent variable [y or f(x)] can take on. It is the region around the y-axis that the graph spans.
From the graph, we can see that the mouth of graph keeps expanding as the we move from left to right, indicating that it will keep covering more of the y-axis as we go on.
So, range of this spans all the real number values of y.
A function is an expression that takes up each value of an independent variable (x) and gives a corresponding value of a dependent variable (y) without the same values of the independent variable (x) giving different values of the dependent variable (y).
We can see that there are cases where the same value of x gives multiple values of y like the at x = 0, y = 1 and y = -1.
So, this relation does not classify as a function.
5) Here, we are given that the relation is,
{(-2, 1) (4, 3) (8,-1) (-3,-4) (5,2)}
Noting that it is written in the form of (x, y)
Domain = {-2, 4, 8, -3, 5}
Range = {1, 3, -1, -4, 2}
We can see that no x value gives multiple y values.
Hence, this qualifies as a function
6) For this one where the line has an arrow at both ends, indicating that it continues till infinity
Therefore,
For the domain, we can tell that all the real number values of x will be the domain of this.
For the range similarly, it will cover all the real number values of y.
And this is a function as all the different values of x each give only one value for y.
We are then asked to compute the x and y intercept.
The x intercept is the point where the line crosses the x-axis and y = 0,
The y intercept is the point where the line crosses the y-axis and x = 0,
From the graph, we can see that
x-intercept = (8, 0)
y-intercept = (0, 4)
Hope this Helps!!!