What is the slope of a line that passes through points (-1, 4) and (4, 9)?
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Answer:
Step-by-step explanation:
Linear functions are usually of the form f(x) = mx + b. When the coefficient of x is positive, the function is increasing (since as x gets larger, f(x) increases). When the coefficient of x is negative, the function is decreasing (since as x gets larger, f(x) decreases).
Exponential functions are usually of the form f(x) = . When b is greater than 1, the function is increasing (exponential growth). When b is between 0 and 1, (non-inclusive) the function decreases (exponential decay).
The function in this question has 3 raised to the power of x, and since 3 is greater than 1, this represents exponential growth.