题目
Algebra II & Trigonometry 2025-26 2.8 Quiz: Inverse Functions (40 Minutes Estimated Time For Completion) | ASYNC
多重下拉选择题
Please select whether the following functions are one-to-one (meaning their inverse is also a function). 1. 𝑓 ( 𝑥 ) = 𝑥 2 + 4 𝑥 − 5 [ Select ] not one-to-one one-to-one 2. 𝑔 ( 𝑥 ) = | 4 𝑥 − 3 | [ Select ] not one-to-one one-to-one 3. 𝑚 ( 𝑥 ) = 3 𝑥 [ Select ] not one-to-one one-to-one
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标准答案
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思路分析
Question: Please select whether the following functions are one-to-one (meaning their inverse is also a function).
1. f(x) = x^2 + 4x − 5 [ Select ] not one-to-one / one-to-one
2. g(x) = |4x − 3| [ Select ] not one-to-one / one-to-one
3. m(x) = 3^x [ Select ] not one-to-one / one-to-one
Analysis of each option:
Option 1: f(x) = x^2 + 4x − 5. This is a quadratic function, which graphs as a parabola. Quadratics are not injective over......Login to view full explanation登录即可查看完整答案
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类似问题
Read the Horizontal Line Test in the textbook Links to an external site. . Which of the following statements are equivalent to (i.e. say the same thing as) the Horizontal Line Test? Select all that apply.
For each of the following functions, use the Horizontal Line Test to determine whether it is one-to-one. a) The function in graph A is [ Select ] one-to-one NOT one-to-one b) The function in graph B is [ Select ] NOT one-to-one one-to-one c) The function in graph C is [ Select ] one-to-one NOT one-to-one d) The function in graph D is [ Select ] one-to-one NOT one-to-one e) The function in graph E is [ Select ] one-to-one NOT one-to-one
Which of the following is NOT a one-to-one function?
Which one of the following is not a one-to-one function?
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