banner



how to find domain and range of a parabola

How to get the domain and range from the graph of a function

Domain and range from a graph blog post.jpeg

Definition of the domain and range

The domain is all ???x???-values or inputs of a function and the range is all ???y???-values or outputs of a function.

When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

Krista King Math.jpg

Hi! I'm krista.

I create online courses to help you rock your math class. Read more.

Basic Functions with Domain Restrictions

functions that always have domain restrictions

Finding the domain and range by looking at the graph of the function

Krista King Math Signup.png

Algebra 1 course.png

Take the course

Want to learn more about Algebra 1? I have a step-by-step course for that. :)

Domain and range of the graph of the parabola

Example

What is the domain and range of the function? Assume the graph does not extend beyond the graph shown.

finding domain and range of a parabola

Let's start with the domain. Remember that domain is how far the graph goes from left to right.

Start by looking at the farthest to the left this graph goes. The ???x???-value at the farthest left point is at ???x=-2???. Now continue tracing the graph until you get to the point that is the farthest to the right. The ???x???-value at this point is at ???2???. There are no breaks in the graph going from left to right which means it's continuous from ???-2??? to ???2???.

Domain: ???[-2,2]??? also written as ???-2\leq x\leq 2???

Next, let's look at the range. Remember that the range is how far the graph goes from down to up.

Look at the furthest point down on the graph or the bottom of the graph. The ???y???-value at this point is ???y=1???. Now look at how far up the graph goes or the top of the graph. This is when ???x=-2??? or ???x=2???, but now we're finding the range so we need to look at the ???y???-value of this point which is at ???y=5???. There are no breaks in the graph going from top to bottom which means it's continuous.

Range: ???[1,5]??? also written as ???1\leq y\leq 5???

Let's try another example of finding domain and range from a graph.

Domain and range from a graph for Algebra 1.jpg

Remember that The domain is all the defined x-values, from the left to right side of the graph.

Example

What is the domain and range of the function? Assume the graph does not extend beyond the graph shown.

domain and range of a sideways parabola

Let's start with the domain. The ???x???-value at the farthest left point is at ???x=-1???. Now continue tracing the graph until you get to the point that is the farthest to the right. The ???x???-value at this point is at ???3???. There are no breaks in the graph going from left to right which means it's continuous from ???-1??? to ???3???.

Domain: ???[-1,3]??? also written as ???-1\leq x\leq 3???

Next, let's look at the range. Look at the furthest point down on the graph or the bottom of the graph. The ???y???-value at this point is ???y=0???. Now look at how far up the graph goes or the top of the graph. This is when ???x=3???, but now we're finding the range so we need to look at the ???y???-value of this point which is at ???y=2???. There are no breaks in the graph going from down to up which means it's continuous.

Range: ???[0,2]??? also written as ???0\leq y\leq 2???

Krista King.png

Get access to the complete Algebra 1 course

Learn math

math, learn online, online course, online math, algebra, algebra 1, algebra i, domain, range, domain and range, graph, graph of a function, domain from the graph, range from the graph, domain and range from a graph

how to find domain and range of a parabola

Source: https://www.kristakingmath.com/blog/domain-and-range-from-a-graph

Posted by: barnesunothouldits.blogspot.com

0 Response to "how to find domain and range of a parabola"

Post a Comment

Iklan Atas Artikel

Iklan Tengah Artikel 1

Iklan Tengah Artikel 2

Iklan Bawah Artikel