Question: (01). The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) 1 3 0 0 1 3 g(x)
(01).
The table below represents a linear function f(x) and the equation represents a function g(x):
| g(x) g(x) = 7x + 2 |
Part A: Sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
(02)
The table below represents the displacement of a turtle from its nest as a function of time:
| Time (hours) x | Displacement from nest (miles) y |
| 0 | 5 |
| 1 | 27 |
| 2 | 49 |
| 3 | 71 |
| 4 | 93 |
Part A: What is the y-intercept of the function, and what does this tell you about the turtle?
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents.
Part C: What would be the domain of the function if the turtle continued to walk at this rate until it traveled 225 miles from the nest?
(03)
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours.
Part B: the equation obtained in Part A using function notation.
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
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