Specify direct proportionality by the formula if it is known that its graph is parallel to the graph
Specify direct proportionality by the formula if it is known that its graph is parallel to the graph of the linear function y = 3x-4 Determine whether the given function increases or decreases
The general linear function is written as follows: y = kx + b, where k and b are any numbers. Direct proportionality is given by the formula y = kx, that is, b = 0. Our function y = 3x – 4 also sets proportionality, but not a direct one, because y depends not only on x, but also on the coefficient b, which in our case is equal ( -4). Direct proportionality will be set by the function y = 3x. To determine whether the function is increasing or decreasing, it is necessary to analyze the coefficient at x. In the case when it is positive, the function increases. In the case when it is negative, it decreases. The function y = 3x increases since 3> 0.