https://file.aiquickdraw.com/mathbot/file/17268579301884gmzmobh.pdf

The document you've uploaded is a worksheet titled *"Unit 2 Evaluating Functions"*. It contains a series of questions that involve evaluating given functions for specific values. Let's break down the key details from the worksheet:

1. **Given functions**:
   - \( k(x) = x^2 + 1 \)
   - \( g(x) = x + 1 \)
   - \( h(x) = x^2 \)
   - \( w(x) = x^2 + 2x - 3 \)

2. **Problems**:
   - Evaluate expressions like \( g(3) \), \( q(0) \), \( f(0) \), etc., for specific functions.
   - Some questions involve solving equations like \( f(x) = 4 \).
   - Additional functions for questions 15-19 include:
     - \( f(x) = 3x^2 - 5x \)
     - \( g(x) = x + 4 \)
     - \( h(x) = x^2 - 2x + 11 \)

Would you like help solving specific problems from this worksheet? I can walk you through the solutions step by step.

Here are five related questions you could explore:
1. How do you evaluate \( g(3) \) for the function \( g(x) = x + 1 \)?
2. What does it mean to solve \( f(x) = 4 \)?
3. How do you solve \( f(x) \) for multiple variables in one equation?
4. Can you explain how to combine functions like in question 16 \( g(h(0)) \)?
5. What methods are useful for solving quadratic equations like \( f(x) = 3x^2 - 5x \)?

**Tip**: When evaluating functions, always substitute the given input directly into the function definition before simplifying.

Evaluate functions such as g(3), q(0), f(0), and solve equations like f(x) = 4.

Learn how to evaluate functions like g(3) for g(x) = x + 1, and solve equations like f(x) = 4 for f(x) = 3x^2 - 5x. This page covers key algebraic concepts and function manipulation, suitable for students in Grades 9-11.

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