The correct option to describe how Liam should compare the growth rates of the functions \( h(x) = 1.2x \) and \( j(x) = 1.2x \) is not present, but we can clarify the situation.
Both functions \( h(x) \) and \( j(x) \) are identical as they both represent the same linear function \( 1.2x \). Therefore, their growth rates are the same, and there is no situation in which one will surpass the other in terms of growth.
To analyze the options given:
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Option A incorrectly suggests that the growth rate of \( j(x) \) will surpass the growth rate of \( h(x) \), which is not true.
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Option B states that the growth rate of \( h(x) \) is only greater when its terms are greater, which is misleading since they are the same function.
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Option C contains a similar issue, stating that \( j(x) \) will be greater only when its terms are greater, which does not apply since the functions are identical.
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Option D also inaccurately suggests that the growth rate of \( h(x) \) will surpass that of \( j(x) \), which is false.
In conclusion, since both functions are equal, there would be no observation of one surpassing the other in growth rate. All provided statements lead to confusion due to this misunderstanding. None of the options correctly reflect this situation.
1 answer