Introduction to Quadratic Functions Answers
Consider the quadratic function f(x) = x2 – 5x + 6. What are the values of the coefficients and constant in the function? a = b = c =
Which is a quadratic function?
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Which table represents a quadratic function?
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Which is the rate of change for the interval between 2 and 6 on the x-axis?
Which graph has a rate of change equal to in the interval between 0 and 3 on the x-axis?
Which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? Explain your reasoning.
The exponential function g(x) = 2^x increases at a faster rate than the quadratic function f(x) = x^2 over the interval [0, infinity). By comparing output values, such as f(x): 0, 1, 4, 9, 16 and g(x): 1, 2, 4, 8, 16, we see that the exponential function eventually doubles its way to much higher values. Because exponential growth (doubling) is multiplicative, it will always exceed the growth of a quadratic function as x increases.
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