Question

Describe the graph of the equation y = 0. Is the equation a function?

Answer 1

Answer: The equation is not a function.

Explanation: The equation would be considered a function if it was in (y=Mx+b) form. As you showed here we have the (mx) part and not the (b) which would be the slope.

Answer 2

Answer: B. horizontal line; yes

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

0

y-intercept:  

(0,0)

Yes it is a function. It is a horizontal line.  

Every point on this line is of the form (x,4) where x can be any number you want. The y coordinate is fixed at 4 and cannot change. Two points on this line are (0,4) and (1,4). The horizontal line goes through 4 on the vertical y axis.  

Why is it a function? Because it is impossible to draw a vertical line through more than one point on the graph of y = 4. The graph passes the vertical line test. Put another way, for any x input, there is exactly one y output.  

Side Note: y = 4 is the same as y = 0x+4. Note how its in the form y = mx+b

m = 0 is the slope

b = 4 is the y intercept

Step-by-step explanation: A. vertical line; yes

horizontal line; yes

Yes! Horizontal line represents a function y = f(x)

(1):Firstly, lets understand a function. For a function to be defined, we have a set of independent variables(inputs) (Domain), a set of dependent variables (outputs) (Codomain). And a relation between the variables.

(2): Each input in X must be related to exactly one output in Y. Or else it won't represent a function.. like in the following image.. y is a function of x.Because each element ofX has one& only one image in Y

C. vertical line; no