determine if function is linear exponential or neither


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PDF Linear vs Exponential Functions Practice

Identify the function as linear or exponential and determine the slope or growth factor Write the rule for each function and sketch a graph labeling the 

PDF 23 Linear Exponential or Neither?

For each representation of a function decide if the function is linear exponential or neither Give at least 2 reasons for your answer 1 Linear

  • How do you classify each table as linear exponential or neither?

    To classify each table as linear, exponential, or neither, we examine the relationship between the x-values and y-values.
    If the y-values change at a constant rate, the table represents a linear relationship.
    If the y-values increase or decrease exponentially, the table represents an exponential relationship.

  • If your function can be written in the form y = a b x , where and are constants, a ≠ 0 , b > 0 , and b ≠ 1 , then it must be exponential.
    In quadratic equations, your functions were always to the 2nd power.
    In exponential functions, the exponent is a variable.

  • How do you determine if a function is linear exponential or neither?

    You can recognize exponential and linear functions by their graph.
    Linear functions are straight lines while exponential functions are curved lines.
    You can also recognize them by the change in y.
    If the same number is being added to y, then the function has a constant change and is linear.

  • How do you know if a relationship is linear exponential or neither?

    Linear equations increase by a constant slope, but exponential equations increase by a constant exponent or power.
    For example, y = 2x + 1.
    It starts from 1 and each x is multiplied by 2.
    On the other hand, exponential equations of form y = x^2 increase each x by the power of 2.

  • To be linear, the same value needs to be added each time (the slope needs to be the same), for exponential each term must be multiplied by the same number, and if neither of these are true, then it would be neither.
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