Set 1: Polynomial Functions
Explanation
The table shows three values of x and their corresponding values of g (x), where g (x) = f (x) x+3 and f is a linear function. What is the y-intercept of the graph of y = f (x) in the xy-plane?
Choose the correct answer.
(0, 36)
(0, 12)
(0, 4)
(0, −9)
Detailed Explanation
Choice A is correct. It’s given that t represents the number of monthly deposits. In the given function f (t ) = 100 + 25 t , the coefficient of t is 25. This means that for every increase in the value of t by 1, the value of f (t ) increases by 25. It follows that with each monthly deposit, the amount in Hana’s bank account increased by 100. Choice C is incorrect. After 1 monthly deposit, the amount in Hana’s bank account was $125. Choice D is incorrect and may result from conceptual errors.
Key Steps:
The correct answer is (0, 36)
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