Show How do you compare linear and exponential functions?What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
What are the similarities and differences of linear and exponential?Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.
How can you tell the difference between a linear and exponential word problem?If the growth or decay involves increasing or decreasing by a fixed number, use a linear function. The equation will look like: y = mx + b f(x) = (rate) x + (starting amount). If the growth or decay is expressed using multiplication (including words like “doubling” or “halving”) use an exponential function.
How do quadratic functions compare to linear and exponential functions?linear functions have constant first differences. quadratic functions have constant second differences. exponential functions have a constant ratio.
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Comparing linear and exponential functions worksheet pdf
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