💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Like

Report

In $3-11$ , each graph shows a polynomial functions from the set of real numbers to the set of real numbers.a. Find the real roots or zeros of the function from the graph, if they exist.b. What is the range of the function?c. Is the function onto?d. Is the function one-to-one?(GRAPH NOT COPY)

a) $x=0$b) $\mathbb{R}$c) Ontod) One-to-one

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 5

Polynomial Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Oregon State University

McMaster University

Baylor University

Lectures

01:32

In mathematics, the absolu…

01:11

02:38

In $3-11$ , each graph sho…

02:16

02:27

01:20

The range of the polynomia…

05:25

For each graph of a functi…

02:04

05:06

02:09

04:20

04:55

Okay, So for this exercise were given this graph and were asked to determine the roots or zeroes of thief function of what the range of the function is and whether or not is onto and or 1 to 1. So I'm gonna go ahead and write out the equation for this function. This is the graph of the function y equals x cubed. And I think it's very easy to tell that the only X value that makes us equal to zero is going to be X equals zero. So the only real route that this function has is zero, but it's a rule with multiplicity Three anyways. Ah, so now we need to determine the range of the function, which is all of the possible output values. And we see this extends from, uh, zero up to positive infinity and down a negative infinity. So our range is all really numbers. Now we need to determine if the function is onto and then on to function is a function such that for every output in the output set, there is some input that gives us that output. So if we wanted to output any of any, why value um there would be some X value we could choose to generate that output. So this is definitely an on to function. And now we want to see if this is a 1 to 1 function. So 121 means that for every output there is on Lee one input that produces that output. Ah, And if we look at this graph, we see that, for example, if we wanted to generate positive too, the Onley input that we could give would be something like, uh, it's like one and some decimal value. It doesn't matter. Anyways, the point is that, yes, this is a wonder one function because there's only one way to generate a one choice of input to generate each possible output.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

In $3-11$ , each graph shows a polynomial functions from the set of real num…

The range of the polynomial function $f$ is the set ofreal numbers less …

For each graph of a function, determine (a) $f(1)$; (b) the domain; (c) any …

05:57

In $3-38,$ solve each equation for the variable, check, and write the soluti…

01:04

In $12-23,$ each set is a function from set $A$ to set $B .$ a. What is the …

02:42

In $4-7,$ the graph of $y=f(x)$ is shown. a. Find $f(0)$ for each function. …

00:37

In $3-38$ write each expression in simplest form. Variables in the radicand …

00:56

Explain the difference between direct variation and inverse variation.

01:43

In $43-46,$ solve each equation for the variable.$$y^{2}-169=0$$…

08:40

In $9-14 :$ a Sketch the graph of each function. b. From the graph, estimate…

00:33

In $3-8,$ for each function: a. Write an expression for $f(x) .$ b. Find $f(…

03:56

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.