💬 👋 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.

Try Numerade Free for 30 Days

Like

Report

What do all members of the family of linear functions $ f(x) = c - x $ have in common? Sketch several members of the family.

All members of the family of linear functions $f(x)=c-x$ have graphs that are lines with slope $-1 .$ The $y$ -intercept is $c$.

01:20

Jeffrey P.

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 2

Mathematical Models: A Catalog of Essential Functions

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Missouri State University

Campbell University

Harvey Mudd College

Idaho State University

Lectures

02:56

In mathematics, a vector (…

06:36

01:22

What do all members of the…

01:28

02:31

01:14

Families of Functions Draw…

01:30

01:04

On one set of coordinate a…

01:24

Draw graphs of the given f…

01:18

01:38

Family of Functions A fami…

Okay. This function here actually represents a whole family of functions. And let's figure out their common feature. So what if I rewrite it in a form that's a little bit more familiar to us? I'm going to write it in slope intercept form, which is y equals MX plus B. So I'm going to rename F of X says why? And then I'm going to rearrange the terms on the right side of the equation. So now that we have it in that form, we can see that the slope is negative one and the Y intercept is see. So that's an indication that we have a variety of different Y intercepts, but all the lines will have a slope of negative one. So that's what they have in common. This slope. Let's sketch several lines that have a slow, good negative one, so one of them could be y equals negative one x plus zero just Weichel is the opposite of X. That would look something like this. Why intercepted zero slope of negative one another. One could be y equals the opposite of X plus one. Why intercept of one and a slope of negative one thes would be parallel. Another one could be y equals the opposite of X minus one, which has a Y intercept of negative one. Also a slope of negative one. So all three of those are parallel.

In mathematics, a vector (from the Latin word "vehere" meaning &qu…

In mathematics, a vector (from the Latin "mover") is a geometric o…

What do all members of the family of linear functions $ f(x) = 1 + m(x + 3) …

What do all members of the family of linear functions$f(x)=1+m(x+3)$ hav…

Families of Functions Draw graphs of the given family of functions for $c=0.…

On one set of coordinate axes, graph the family of parabolas $f(x)=x^{2}+2 x…

Draw graphs of the given family of functions for $c=0.25,0.5,1,2,4 .$ How ar…

Family of Functions A family of functions is given. (a) Draw graphs of the f…