Graph the given relation or equation and find the domain and range. then determine whether the relation or equation is a function.
y=3x+1

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:

xy

-20-59

-15-44

-10-29

-5-14

01

516

1031

1546

2061

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.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

168

step-by-step explanation:

i am pretty sure that the answer is 168