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Parent Functions Identification
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Parent Functions Identification
📊 Part 1: Function Classification
1. Which parent function has the equation y = x²?
Linear function
Quadratic function
Cubic function
Absolute value function
2. The graph of y = |x| has which characteristic shape?
Straight line
Parabola opening upward
V-shape
Curved S-shape
3. Which of the following are exponential parent functions? (Check all that apply)
y = 2^x
y = x²
y = e^x
y = √x
4. The reciprocal function y = 1/x has which domain?
All real numbers
All real numbers except x = 0
x ≥ 0
x > 0
✏️ Part 2: Function Properties
5. Complete the table for the linear parent function y = x:
Domain: ___________________
Range: ____________________
y-intercept: _______________
6. Describe the shape of the cubic parent function y = x³:
7. The square root function y = √x starts at the point _______ and increases as x increases. Its domain is ____________.
8. Explain why the absolute value function y = |x| always has a range of y ≥ 0:
🌍 Part 3: Real-World Connections
9. Match each real-world situation with its most appropriate parent function:
A. Population growth over time
B. Distance traveled at constant speed
C. Area of a square given side length
D. Temperature difference from room temperature
1. Linear function (y = x)
2. Quadratic function (y = x²)
3. Exponential function (y = 2^x)
4. Absolute value function (y = |x|)
10. Choose one parent function and describe a real-world situation where it might be used. Explain your reasoning:
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