Question

For the quadratic function f(x) = x^2 - 3x + 3, answer parts (a) through (c). Verify the results using a graphing utility. (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. The graph of f opens The vertex of f is (Type an ordered pair.) The axis of symmetry is (Type an equation. Simplify your answer.) Determine the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is y = (Type an integer or a decimal.) B. There is no y-intercept. Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are x = (Type an integer or a decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) B. There is no x-intercept. (b) Determine the domain and the range of the function. The domain of f is (Type your answer in interval notation.) The range of f is (Type your answer in interval notation.) (c) Determine where the function is increasing and where it is decreasing. The function is increasing on the interval (Type your answer in interval notation.) The function is decreasing on the interval (Type your answer in interval notation.)

          For the quadratic function f(x) = x^2 - 3x + 3, answer parts (a) through (c). Verify the results using a graphing utility.
(a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.
The graph of f opens
The vertex of f is
(Type an ordered pair.)
The axis of symmetry is
(Type an equation. Simplify your answer.)
Determine the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is y =
(Type an integer or a decimal.)
B. There is no y-intercept.
Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The x-intercept(s) is/are x =
(Type an integer or a decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.)
B. There is no x-intercept.
(b) Determine the domain and the range of the function.
The domain of f is
(Type your answer in interval notation.)
The range of f is
(Type your answer in interval notation.)
(c) Determine where the function is increasing and where it is decreasing.
The function is increasing on the interval
(Type your answer in interval notation.)
The function is decreasing on the interval
(Type your answer in interval notation.)

For the quadratic function f(x) = x^2 - 3x + 3, answer parts (a) through (c). Verify the results using a graphing utility.
(a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.
The graph of f opens
The vertex of f is
(Type an ordered pair.)
The axis of symmetry is
(Type an equation. Simplify your answer.)
Determine the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is y =
(Type an integer or a decimal.)
B. There is no y-intercept.
Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The x-intercept(s) is/are x =
(Type an integer or a decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.)
B. There is no x-intercept.
(b) Determine the domain and the range of the function.
The domain of f is
(Type your answer in interval notation.)
The range of f is
(Type your answer in interval notation.)
(c) Determine where the function is increasing and where it is decreasing.
The function is increasing on the interval
(Type your answer in interval notation.)
The function is decreasing on the interval
(Type your answer in interval notation.)

Added by Lindsey C.

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