Age is the x values and height is the y values. In order to be a function, there can be no repeating x values...they all have to be different. You can have repeating y values, just not the x ones. So look at all the x columns (ages) and u will notice that the only one that does not have any repeating x values is Hal's results....no x's are the same and it is therefore, a function.
Set a proportion. They are similar triangles.
A line perpendicular means that the slope is the negative reciprocal of the slope given. Since m=3 in the given equation, the slope in the perpendicular line has to be m = -1/3. The y-intercept can be any number.
So a line perpendicular would be y = -1/3x + b
Since you can plug anything into b, you can get many different answers. For example, y = -1/3x + 7 or y = -1/3x - 2
Answer:
Input is the value of w and the function f = 24/w as length x breadth = area of rectangle
If w = 0.5, then f = 24/0.5 = 48cm. So, it is a possible input of the function.
If w = 48, then f = 24/48 = 0.5cm. So, it is a possible input of the function.
If w = 0, then f = 24/0 = 0cm. So, it is not a possible input of the function as it cannot be defined
If w = -6, then f = 24/-6= -4cm. So, it is not a possible input of the function as a length and width can't be negative
If w = 3, then f = 24/3 = 8cm. So, it is a possible input of the function.
