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?

–2–2–2222222000

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 positive according to the given data
00:11 When the function's slope is positive, the function is increasing
00:17 And this is the solution to the question

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