Explanation Given information: f ( x ) = 6 x 2 + 13 x − 10 Concept Used: Since x intercept of a function f ( x ) is the point where it intersects x -axis, which can be found by putting f ( x ) = 0 Calculation: To find the x intercept of the function f ( x ) = 6 x 2 + 13 x − 10 Find the points where f ( x ) = 0 Since x intercepts of a function are the points where f ( x ) = 0 Solving it as 6 x 2 + 13 x − 10 = 0 ⇒ x = − 13 ± ( 13 ) 2 − 4 ( 6 )

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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:

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Question

Chapter 1, Problem 29SP

To determine

To find the x intercepts of the function (if any)

f(x)=6x2+13x−10

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Chapter 1, Problem 28SP

Chapter 1, Problem 30SP

Chapter 1 Solutions

Calculus

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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY

To find the x intercepts of the function (if any) f ( x ) = 6 x 2 + 13 x − 10

Solution Summary: The author explains how to find the x intercepts of a function by putting f(x)=0.

Concept explainers

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To find the x intercepts of the function (if any)

f(x)=6x2+13x−10

Want to see the full answer?

Chapter 1 Solutions

To find the x intercepts of the function (if any) f ( x ) = 6 x 2 + 13 x − 10

Solution Summary: The author explains how to find the x intercepts of a function by putting f(x)=0.

Concept explainers

Videos

To find the x intercepts of the function (if any) f(x)=6x2+13x−10

Want to see the full answer?

Chapter 1 Solutions

To find the x intercepts of the function (if any)

f(x)=6x2+13x−10