Which of the following statements are true? Check all that apply.

Question

If m<0m<0, the graph INCREASES from left to right.

 

f(x)f(x) represents the Output quantity,.

If m>0m>0, the graph INCREASES from left to right.

Linear functions are represented as f(x)=mx+bf(x)=mx+b.

Slope can be found by calculating a ratio using x2−x1y2−y1x2-x1y2-y1.

If m=0m=0, then f(x)f(x) is a vertical function.

Answer 1

If you have a line given by 

 

f(x) = mx + b

 

m is the slope. If the slope is positive, the graph increases from left to right. If the slope is negative, the graph decreases from left to right.

 

x is the INPUT and f(x) is the OUTPUT. f(x) is a rule that tells you what to do with x. When you put x in, and do what f(x) tells you to do to it, f(x) is what you get out. 

 

Slope can be found by taking (y₂ - y₁)/(x₂ - x₁).

 

If m = 0, f(x) becomes f(x) = b. The term with the x drops out because it's zero no matter what x you plug into it. 

 

f(x) = b is a HORIZONTAL line. It says that the y coordinate is b, no matter what x I plug in.