Please help me with the following problem.
1 answer:
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Answer:
The equation is a function, for each value of x, corresponds a y-value. The domain and the range is for all the real numbers.
Step-by-step explanation:
To sketch the graph you need to make a table, propose different values of x, including negative and positives. You can see that for any value of x, you will have any value of y.
For example:
x y
-20 -59
-15 -44
-10 -29
-5 -14
0 1
5 16
10 31
15 46
20 61
Remember the following concepts:
The domain of a function f (x) is the set of all the values for which the function is defined. In other words is the collection of all possible inputs that can be plugged into a function to produce a y-value. To find the domain depends of the function type. For example a polynomial function without radicals or variables in the denominator will have all the real numbers in its domain. Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign.
The range of the function is the set of all the values that y takes, it is the collection of all possible outputs, depending of the function can have a minimum y-value or a maximum y-value.
We can see that the function y = 3x +1, or f(x) = 3x +1, has no restrictions, therefore the domain is all real numbers. From the graph we can see easily that y can be positive or negative. So the domain and the range can be expressed as (-∞, ∞) .
You can see the graph in the attached file.