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3. The path of a golf ball after being hit by a club can be modelled by the function h(t) = 601-16.1². where t is the time in seconds and h is the height of the ball in feet. a Use your GDC to sketch a graph of the ball's path. Label the axes. Explain why this graph is a function. Use your GDC to find the t-intercepts and maximum value. d Write down the domain and range for this situation. b c

3. The path of a golf ball after being hit by a club can be modelled by the function h(t) = 601-16.1². where t is the time in seconds and h is the height of the ball in feet. a Use your GDC to sketch a graph of the ball's path. Label the axes. Explain why this graph is a function. Use your GDC to find the t-intercepts and maximum value. d Write down the domain and range for this situation. b c

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Do letter b,c,d with explanation please thank you 

**Problem 3:** The path of a golf ball after being hit by a club can be modeled by the function \( h(t) = 60t - 16.1t^2 \), where \( t \) is the time in seconds and \( h \) is the height of the ball in feet. **Tasks:** a. **Graph Sketching**: Use your GDC (Graphical Display Calculator) to sketch a graph of the ball’s path. Label the axes appropriately, with time \( t \) on the x-axis and height \( h \) on the y-axis. b. **Function Explanation**: Explain why this graph represents a function. c. **Intercepts and Maximum Value**: Use your GDC to find the \( t \)-intercepts (where the graph crosses the x-axis) and the maximum height the ball reaches. d. **Domain and Range**: Determine and write down the domain and range for this scenario. **Note**: The function is a quadratic equation indicating a parabolic trajectory, typical for projectile motion.
Transcribed Image Text:**Problem 3:** The path of a golf ball after being hit by a club can be modeled by the function \( h(t) = 60t - 16.1t^2 \), where \( t \) is the time in seconds and \( h \) is the height of the ball in feet. **Tasks:** a. **Graph Sketching**: Use your GDC (Graphical Display Calculator) to sketch a graph of the ball’s path. Label the axes appropriately, with time \( t \) on the x-axis and height \( h \) on the y-axis. b. **Function Explanation**: Explain why this graph represents a function. c. **Intercepts and Maximum Value**: Use your GDC to find the \( t \)-intercepts (where the graph crosses the x-axis) and the maximum height the ball reaches. d. **Domain and Range**: Determine and write down the domain and range for this scenario. **Note**: The function is a quadratic equation indicating a parabolic trajectory, typical for projectile motion.
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