Distinguishing Linear and Exponential Functions with Tables

What is the primary method to distinguish between linear and exponential functions?

• By the shape of their graphs

• By examining the differences or factors in function tables

• By their equations

• By the number of variables

What indicates a linear function when examining a function table?

• Values raised to a power

• Decreasing values in the output

• Constant differences between consecutive outputs

• Multiplicative factors between outputs

What does an equal difference in the output values of a function table suggest?

• Exponential function

• Linear function

• Quadratic function

• Logarithmic function

In an exponential function, how do the output values change?

• They add by a variable factor

• They multiply by a constant factor

• They increase by a constant difference

• They decrease by a constant factor

What pattern in the function table indicates an exponential function?

• Constant subtraction

• Constant multiplication

• Constant addition

• Variable multiplication

What common mistake is made when filling the exponent in function tables?

• Dividing instead of subtracting

• Subtracting instead of dividing

• Adding instead of multiplying

• Multiplying instead of adding

How does multiplying by a constant factor affect the function type?

• It indicates a linear function

• It does not affect the function type

• It indicates an exponential function

• It indicates a quadratic function

How can you confirm a function is exponential by looking at the function table?

• By finding constant multiplicative factors

• By finding constant differences

• By finding decreasing factors

• By finding increasing differences

What does the term 'equal intervals' refer to in the context of function tables?

• Equal x-values

• Equal y-values

• Equal increments in x-values

• Equal decrements in y-values

Which function type is characterized by having equal differences in the output values?

• Linear

• Exponential

• Cubic

• Trigonometric