Evaluate the Function f(x) = x^2 - 2x + 6 at the Given Values College Algebra MyMathlab Homework

TL;DR

Evaluate a function at different values using algebraic substitution.

Transcript

in this video we have a function and we're being asked to evaluate it at various numbers so our function is f of x equals x squared minus 2x plus 6 so Part A wants us to evaluate the function at negative 4 so f of negative 4 so that basically means we replace each copy of X with negative 4 right because X is our negative 4 so it's negative 4 square... Read More

Key Insights

• ❓ Substituting values for the variable in a function is fundamental in algebraic evaluation.
• 😑 Understanding the distribution or foiling process is crucial for simplifying expressions accurately.
• 🤘 Evaluating functions at different values requires attention to signs and simplification techniques.
• ⚾ The outcome of evaluating functions may vary based on the input values provided.
• 👻 Algebraic substitution allows for the calculation of function values efficiently.
• 😑 Simplifying algebraic expressions involves combining like terms and following order of operations.
• 🆘 Practice with evaluating functions helps in reinforcing algebraic manipulation skills.

Questions & Answers

Q: How do you evaluate a function at a specific value?

To evaluate a function at a specific value, replace all instances of the variable with the given value and simplify the expression to get the result.

Q: What is the process for evaluating f(x + 2)?

To evaluate f(x + 2), substitute x + 2 for x in the function, expand and simplify the expression, and the result will be x^2 + 2x + 6.

Q: How do you evaluate f(-x)?

Evaluating f(-x) involves replacing x with -x in the function, simplifying the expression, and getting the result as x^2 + 2x + 6.

Summary & Key Takeaways

• Given the function f(x) = x^2 - 2x + 6, evaluate f(-4) to find 30.

• Evaluate f(x + 2) by substituting x + 2 for x in the function, simplifying the expression to x^2 + 2x + 6.

• Lastly, evaluate f(-x) by replacing x with -x in the function and simplifying the expression to x^2 + 2x + 6.