Analyze y=-3x+3: Determining if the Linear Function is Increasing or Decreasing

Question

Given the following function:

y=3x+3 y=-3x+3

Is the function increasing or decreasing?

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Video Solution

Solution Steps

00:00 Is the function increasing or decreasing?
00:03 The function equation according to the given data
00:07 The function's slope is negative according to the given data
00:10 When the function's slope is negative, the function is decreasing
00:14 And this is the solution to the question

Step-by-Step Solution

To determine if the function y=3x+3 y = -3x + 3 is increasing or decreasing, we need to examine the slope of the function.

The function is in the form y=mx+b y = mx + b , where m m is the slope.

In this function, the slope m=3 m = -3 .

The sign of the slope m m tells us whether the function is increasing or decreasing:

  • If m>0 m > 0 , the function is increasing.
  • If m<0 m < 0 , the function is decreasing.

Since m=3 m = -3 and it is less than zero, the function is decreasing.

Therefore, the function is decreasing.

Answer

Decreasing