Explanation Given Information: There is a graph is given as: The provided corresponding functions are: A . f ( x ) = a x 2 + b x + c , a < 0 , c < 0 B . f ( x ) = a x , 0 < a < 1 C . f ( x ) = a x , a < 0 D . f ( x ) = log a x , 0 < a < 1 E . f ( x ) = log a x , a < 0 F . f ( x ) = m x + b , m > 0 , b < 0 G . f ( x ) = m x + b , m < 0 , b > 0 H . f ( x ) = m x + b , m < 0 , b < 0 I . f ( x ) = a x 2 + b x + c , a > 0 , c < 0 J . f ( x ) = a x 2 + b x + c , a < 0 , c > 0 K . f ( x ) = log a x , a > 1 L . f ( x ) = a x 2 + b x + c , a > 0 , c > 0 M . f ( x ) = m x + b , m < 0 , b = 0 N . f ( x ) = m x + b , m = 0 , b > 0 O . f ( x ) = a x , a > 1 Consider the given graph. From the given diagram it is clear that the given graph is a straight line, so the function must be in the form, f ( x ) = m x + b . Since, the slope of the graph is decreasing, thus, m < 0 . The y -intercept of the graph is negative, thus, b < 0 . So, the required function is, f ( x ) = m x + b , m < 0 , b < 0 Now, observe the provided functions: A . f ( x ) = a x 2 + b x + c , a < 0 , c < 0 , as this equation is not representing a straight line, so this is not the required function

12th Edition

ISBN: 8220100802867

Author: BITTINGER

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 8.5, Problem 8VFS

To determine

The corresponding function for the given graph.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.5, Problem 7VFS

Chapter 8.5, Problem 9VFS

Students have asked these similar questions

M = log The formula determines the magnitude of an earthquake, where / is the intensity of the earthquake and S is the intensity of a "standard earthquake." How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.

Now consider equations of the form ×-a=v = √bx + c, where a, b, and c are all positive integers and b>1. (f) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (g) What must be true about the value of bx + c to ensure that there is a real number solution to the equation? Explain.

The equation ×+ 2 = √3x+10 is of the form ×+ a = √bx + c, where a, b, and c are all positive integers and b > 1. Using this equation as a model, create your own equation that has extraneous solutions. (d) Using trial and error with numbers for a, b, and c, create an equation of the form x + a = √bx + c, where a, b, and c are all positive integers and b>1 such that 7 is a solution and there is an extraneous solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (e) Solve the equation you created in Part 2a.

Chapter 8 Solutions

EBK INTERMEDIATE ALGEBRA

Ch. 8.1 - Graph. Ch. 8.1 - Prob. 2SR Ch. 8.1 - Prob. 1DE Ch. 8.1 - Prob. 2DE Ch. 8.1 - Prob. 3DE Ch. 8.1 - Prob. 4DE Ch. 8.1 - Prob. 5DE Ch. 8.1 - Prob. 6DE Ch. 8.1 - Prob. 1CCE Ch. 8.1 - Prob. 7DE

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The corresponding function for the given graph.

Solution Summary: The author explains the correct matching function for the given graph.

Videos

The corresponding function for the given graph.

Want to see the full answer?

Chapter 8 Solutions