Domain, Range, Intercepts, Function Values from Graph MyMathlab Homework College Algebra

TL;DR

This content explains how to find the domain, range, x-intercepts, y-intercept, and missing function values of a given equation.

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

Key Insights

• ♾️ The domain of this function is from negative infinity to positive infinity.
• 🧡 The range of this function is from negative infinity to 4.
• ☺️ The x-intercepts of this function are -3 and 1.
• 😀 The y-intercept of this function is 3.
• ☺️ The missing function value when x is -2 is 3.

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 y-values from negative infinity up to the highest point, which in this case is 4.

Q: How do you determine the x-intercepts of a function?

The x-intercepts are the points on the graph where it intersects the x-axis. By observing the graph, we can find that the x-intercepts of this function are -3 and 1.

Q: What is the y-intercept of a function?

The y-intercept is the point where the graph of the function intersects the y-axis. In this case, the y-intercept 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 x-intercepts are the points where the graph of the function intersects the x-axis.

• The y-intercept is the point where the graph of the function intersects the y-axis.

• The missing function values can be determined by finding the corresponding y-values for given x-values.