The end behavior of a linear function in math refers to what happens to the y-values of the function as the x-values approach positive infinity or negative infinity.
For a linear function in the form y = mx + b, where m is the slope and b is the y-intercept, the end behavior can be determined by the value of the slope.
If the slope is positive (m > 0), the end behavior of the linear function is that the y-values will increase indefinitely as the x-values increase or decrease without bound. In other words, the function will have a positive y-intercept and will be increasing as x approaches both positive and negative infinity.
If the slope is negative (m < 0), the end behavior of the linear function is that the y-values will decrease indefinitely as the x-values increase or decrease without bound. In other words, the function will have a negative y-intercept and will be decreasing as x approaches both positive and negative infinity.
Overall, the end behavior of a linear function can be described using words like "increasing without bound" or "decreasing without bound" depending on the slope of the function.
what is End Behavior of a Linear function in math
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