Domain, Range, Intercepts, Function Values from Graph MyMathlab Homework College Algebra  Summary and Q&A
TL;DR
This content explains how to find the domain, range, xintercepts, yintercept, and missing function values of a given equation.
Key Insights
 βΎοΈ The domain of this function is from negative infinity to positive infinity.
 π§‘ The range of this function is from negative infinity to 4.
 βΊοΈ The xintercepts of this function are 3 and 1.
 π The yintercept of this function is 3.
 βΊοΈ The missing function value when x is 2 is 3.
Transcript
and this problem we're being asked various questions we have to find the domain the range the X intercepts the y intercept and some missing function values indicated here by these question marks let's start by finding the domain so the domain is the set of all inputs it's all of the X's you can plug into your function that give you Y values so we'l... Read More
Questions & Answers
Q: What is the domain of a function?
The domain of a function is the set of all possible input values (x) that produce valid output values (y). In this case, the domain is from negative infinity to positive infinity.
Q: How do you find the range of a function?
To find the range of a function, examine the graph from bottom to top. The range includes all the yvalues from negative infinity up to the highest point, which in this case is 4.
Q: How do you determine the xintercepts of a function?
The xintercepts are the points on the graph where it intersects the xaxis. By observing the graph, we can find that the xintercepts of this function are 3 and 1.
Q: What is the yintercept of a function?
The yintercept is the point where the graph of the function intersects the yaxis. In this case, the yintercept is at 3.
Summary & Key Takeaways

The domain of a function is the set of all possible input values (x) that give valid output values (y).

The range of a function is the set of all possible output values (y).

The xintercepts are the points where the graph of the function intersects the xaxis.

The yintercept is the point where the graph of the function intersects the yaxis.

The missing function values can be determined by finding the corresponding yvalues for given xvalues.