Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Match each equation with its graph. Explain your choices. (Don't use a computer or graphing calculator.)
(a) $ y = 3x $ (b) $ y = 3^x $ (c) $ y = x^3 $ (d) $ y = \sqrt[3]{x} $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Heather Zimmers
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
01:46
Jeffrey Payo
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
Johns Hopkins University
Baylor University
University of Michigan - Ann Arbor
University of Nottingham
Lectures
04:31
A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.
12:15
In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.
05:07
Match each equation with i…
01:07
01:48
$3-4$ Match each equation …
01:02
01:10
01:03
02:02
match the equation with it…
02:26
Match each graph with its …
00:40
Match each graph (labeled …
all right, we have some equations and we want to match them with graphs. So let's take a look at a y equals three. X is a linear function. We've had a lot of practice with linear functions ever since. Algebra one, so expecting to see a line. So when you look at the graph options you have, you'll notice that that is capital G. Y equals three to the X. Power is an exponential function. Looks like exponential growth, and I'm sure you've had experience with those two. Exponential growth has that kind of behavior that looks like graph f y equals X. Cubed is another polynomial function, and because it has an odd power, it's going to be an odd function. You're going to see some symmetry about the origin, and when you cube numbers, they grow big rather quickly. So it's going to look like that. So that is actually capital F. And then the cube root function is the inverse of Hugh being function. So it's going to be the reflection of the Cuban function across the line Y equals X. So it looks like this, and that's our graph lower case G
View More Answers From This Book
Find Another Textbook
01:47
The breadth of a rectangular garden is two third of its length.if the perime…
01:04
If 3 cot A=4,then the value of sec A will be : A)3/4 B)5/4C)2/3<…
01:24
The ratio of the number of boys and girls in a class को of 400 students is 1…
The length of a playground is 200metre and the breadth is 150 metre. If Raju…
01:01
find the point where equation 3 X + 2 Y =12 intersect Y axiz
The cost of fencing a square field at rupees 27.50 per metre is rupees 55000…
02:14
A tinmaker converts a cubical metallic box into 10 cylindrical tins. Side of…
01:19
find the perimeter of semicircle whose radius is 16.1 cm .
02:43
in an Auditorium the number of rows equal to number of seats WHEN THE ROWS W…
00:39
You take 4 hours to put together 32 units. How many hours would it take you …