Linear Function Exploration: Is y=2x+2 Trending Upward or Downward?

Question

Given the following function:

y=2x+2 y=2x+2

Is the function increasing or decreasing?

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Video Solution

Solution Steps

00:06 First, let's determine if the function is increasing or decreasing.
00:11 We begin by looking at the function's equation based on the data.
00:15 Here, we see the slope of the function is positive.
00:18 Remember, if the slope is positive, the function is increasing!
00:23 And that's how we solve this problem. Well done!

Step-by-Step Solution

To solve this problem, we need to determine whether the linear function y=2x+2 y = 2x + 2 is increasing or decreasing.

Linear functions are represented by the equation y=mx+b y = mx + b , where m m is the slope. The slope indicates the rate at which the function increases or decreases as we move along the x-axis.

For the given function y=2x+2 y = 2x + 2 , the slope m m is 2. This is a positive number.

A positive slope indicates that as x x increases, y y also increases. Therefore, the function is increasing.

Since a positive slope in the linear function suggests an increasing nature, we can conclude that the function is growing.

Therefore, the function y=2x+2 y = 2x + 2 is Increasing.

Answer

Increasing