Unit Test Answers
Which is a quadratic function?
b = [___]
-5
c = [___]
6
a = [___]
1
00.5512.5
–203✔ 4
Which table represents a quadratic function?
–2–1/21/22
Which graph has a rate of change equal to one-third 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.
Sample Response: Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function. What did you include in your response? Check all that apply.Find the output v
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