Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 2: Q. 6 (page 76)

True or False: A function can have more than one y-intercept.

Short Answer

Expert verified

The statement is false.

Step by step solution

Step 1. Definition

f is the symbol that we use to denote the function. It is symbolic of the equation (rule) that we use to get from an x in the domain to f(x) in the range.

Step 2. Final answer

A set of points in the xy-plane is the graph of a function if and only if every vertical line intersects the graph in at most one point.

Therefore, the given statement "A function can have more than one y-intercept" is false.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 7–18, match each graph to one of the following functions:

$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

True or False The domain of the function $f (x) = \frac{x^{2} - 4}{x}$ is ${x | x \neq \pm 2}$ .

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

$f (x) = {(x + 2)}^{3} - 3$

Solve the inequality: $3 - 2 x > 5$ . Graph the solution set.

If $f (x) = \{\begin{cases} x^{3} i f - 2 \leq x < 1 \\ 3 x + 2 i f 1 \leq x \leq 4 \end{cases}$

Find: (a) $f (- 1)$ (b) $f (0)$ (c) $f (1)$ (d) $f (3)$

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

True or False: A function can have more than one y-intercept.

Short Answer

Step by step solution

Step 1. Definition

Step 2. Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Probability and Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Company

Product

Help