For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact.f(x) = 4x2 – 2x +5Select the correct choice below and, if necessary, fill in the answer box within your choice.O A. The point(s) at which the tangent line is horizontal is (are).(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)OB. There are no points on the graph where the tangent line is horizontal.O C. The tangent line is horizontal at all points of the graph,eouronson TClick to select and enter your answer(s).8:00ame here to search10AIF9F10F5F6F7F8F1F2F3F4232$445708.WYUこの*00ClLLI

Answered: Image /qna-images/answer/a7073159-0d6a-4dbc-a3ca-3f969ce90448.jpg

Answered: For the function, find the points on…

For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. f(x) = 4x2 - 2x+5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.6: Solving Quadratic Equations By Using The Quadratic Formula

Problem 64PFA

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact.
f(x) = 4x2 – 2x +5
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The point(s) at which the tangent line is horizontal is (are).
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
OB. There are no points on the graph where the tangent line is horizontal.
O C. The tangent line is horizontal at all points of the graph,
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