Equal Differences & Equal Factors

Linear or exponential? Learn to tell the difference with practice problems on function identification and growth patterns.

A table of values is shown for f(x) and g(x). Which function represents a linear function? f(x) is linear. g(x) is linear. Both functions are linear. Neither functions are linear. Consider the graph below.Which type of model would be a better fit, linear or exponential? Linear Exponential Both Neither Consider the graph below.Based on the model, what is f(0)? f(0) = 32 Two functions are shown in the table.Which function represents anexponential function? h(x) is exponential. k(x) is exponential. Both are exponential. Neither are exponential. Two functions are shown in the table.What is the average rate of change for the function h(x) over the interval [1, 3]? The average rate of change is 3. True or False? The function below represents an exponential function. True False True or False? The function below represents an exponential function. True False Sort the tables below. Linear Exponential What is the average rate of change for function b(x) over the interval 2 ≤ x ≤ 6? The average rate of change is 15. Always, Sometimes, or Never:Linearfunctions will always grow by equaldifferences over equal intervals. Always Sometimes Never Always, Sometimes, or Never:Exponential functions will always grow byequal factors over equal intervals. Always Sometimes Never