Question
Liam is using sequences to compare the growth rates of h(x)=1.2x and j(x)=1.2x. Which statement correctly describes how Liam should do this and what he will observe?
Answers
GPT 3.5
To compare the growth rates of h(x) = 1.2x and j(x) = 1.2x, Liam should use sequences where he examines the values of each function as x increases.
Observations:
1. Increasing x values: Liam should choose a specific range of x values, such as 0, 1, 2, 3, 4, and so on. Then, he can plug each x value into both functions and record the corresponding y values.
2. Growth rate comparison: Liam should compare the y values of h(x) and j(x) for each x value. He will observe that the y values are equal for each value of x because both functions are defined as 1.2x.
In summary, while comparing the growth rates of h(x) = 1.2x and j(x) = 1.2x through sequences, Liam will observe that the y values of both functions are identical for each corresponding x value.
Observations:
1. Increasing x values: Liam should choose a specific range of x values, such as 0, 1, 2, 3, 4, and so on. Then, he can plug each x value into both functions and record the corresponding y values.
2. Growth rate comparison: Liam should compare the y values of h(x) and j(x) for each x value. He will observe that the y values are equal for each value of x because both functions are defined as 1.2x.
In summary, while comparing the growth rates of h(x) = 1.2x and j(x) = 1.2x through sequences, Liam will observe that the y values of both functions are identical for each corresponding x value.