8x + 12 Let f(x) : - 10x + 4 a. Determine the vertical intercept for f by evaluating f(0). f(0) Preview b. If the numerator of a ratio is 0 then the ratio has a value of 0 (such as , etc.). So horizontal 4' 12 intercepts (values of x that make f(x) = 0) occur whenever the function's numerator has a value of 0. Thus, horizontal intercept(s) for this function will occur when 8x + 12 = 0. What value(s) of x make this true? If there is more than one answer, enter values as a comma-separated list. Preview

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Let \( f(x) = \frac{8x + 12}{x^2 - 10x + 4} \).

a. Determine the vertical intercept for \( f \) by evaluating \( f(0) \).

\[ f(0) = \] [Input Box] [Preview Button]

b. If the numerator of a ratio is 0, then the ratio has a value of 0 (such as \( \frac{0}{4}, \frac{0}{12}, \frac{0}{-3} \), etc.). So horizontal intercepts (values of \( x \) that make \( f(x) = 0 \)) occur whenever the function's numerator has a value of 0.

Thus, horizontal intercept(s) for this function will occur when \( 8x + 12 = 0 \). What value(s) of \( x \) make this true? *If there is more than one answer, enter values as a comma-separated list.*

\[ x = \] [Input Box] [Preview Button]
Transcribed Image Text:Let \( f(x) = \frac{8x + 12}{x^2 - 10x + 4} \). a. Determine the vertical intercept for \( f \) by evaluating \( f(0) \). \[ f(0) = \] [Input Box] [Preview Button] b. If the numerator of a ratio is 0, then the ratio has a value of 0 (such as \( \frac{0}{4}, \frac{0}{12}, \frac{0}{-3} \), etc.). So horizontal intercepts (values of \( x \) that make \( f(x) = 0 \)) occur whenever the function's numerator has a value of 0. Thus, horizontal intercept(s) for this function will occur when \( 8x + 12 = 0 \). What value(s) of \( x \) make this true? *If there is more than one answer, enter values as a comma-separated list.* \[ x = \] [Input Box] [Preview Button]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 12 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning