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Parent Functions Practice
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Parent Functions Practice
📊 Part 1: Identifying Parent Functions
1. Which parent function has the equation y = x²?
Linear function
Quadratic function
Cubic function
Square root function
2. The graph of y = |x| is called the _____________ function.
3. Which of the following are characteristics of the exponential parent function y = 2ˣ? (Check all that apply)
Has a horizontal asymptote
Passes through the point (0, 1)
Is symmetric about the y-axis
Always increasing
4. The domain of the square root parent function y = √x is:
All real numbers
x ≥ 0
x > 0
y ≥ 0
5. Match each equation to its parent function type:
y = x³ is a _____________ function
y = 1/x is a _____________ function
y = x is a _____________ function
📈 Part 2: Function Characteristics
6. For the quadratic parent function y = x², what is the range?
7. Describe what happens to the graph of a parent function when it is shifted up 3 units.
8. The reciprocal function y = 1/x has two asymptotes. What are they?
Horizontal asymptote: y = _______
Vertical asymptote: x = _______
9. Give a real-world example where you might see exponential growth or decay in action.
🎯 Part 3: Application & Analysis
10. A ball is thrown in the air and its height follows a quadratic pattern. Explain why the quadratic parent function is a good model for this situation.
11. Compare and contrast the linear function y = x and the cubic function y = x³. List at least two similarities and two differences.
12. Which parent function would you find most useful in real life and why? Explain your reasoning with a specific example.
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