For the quadratic function f(x) = 2x² - 2x-3, answer parts (a) through (c). Verify the results using a graphing utility. 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. O A. The y-intercept is (Type an integer or a decimal.) OB. 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. O A. The x-intercept(s) is/are. (Type an integer or a decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) OB. There is no x-intercept.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 47PS
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Does the graph open up or down?

For the quadratic function f(x) = 2x² - 2x-3, answer parts (a) through (c). Verify the
results using a graphing utility.
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.
O A. The y-intercept is
(Type an integer or a decimal.)
OB. 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.
O A. The x-intercept(s) is/are.
(Type an integer or a decimal rounded to two decimal places as needed. Use a
comma to separate answers as needed.)
OB. There is no x-intercept.
Transcribed Image Text:For the quadratic function f(x) = 2x² - 2x-3, answer parts (a) through (c). Verify the results using a graphing utility. 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. O A. The y-intercept is (Type an integer or a decimal.) OB. 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. O A. The x-intercept(s) is/are. (Type an integer or a decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) OB. There is no x-intercept.
For the quadratic function f(x) = 2x² - 2x-3, answer parts (a) through (c). Verify the
results using a graphing utility.
Use the graphing tool to graph the function.
Click to
enlarge
graph
(b) Determine the domain and the range of the function.
The domain of f is
(Type your answer in interval notation.)
The range of fis
(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.)
C
10
fotos
A
Transcribed Image Text:For the quadratic function f(x) = 2x² - 2x-3, answer parts (a) through (c). Verify the results using a graphing utility. Use the graphing tool to graph the function. Click to enlarge graph (b) Determine the domain and the range of the function. The domain of f is (Type your answer in interval notation.) The range of fis (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.) C 10 fotos A
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