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In Math / Senior High School | 2024-09-02

determine whether each function is one to one function or not g(x)=3x+7​

Asked by myleenegosa

Answer (1)

Answer:The function g(x) = 3x + 7 is a one-to-one function.Step-by-step explanation:• A visual way to determine if a function is one-to-one is to see if any horizontal line intersects the graph of the function more than once. The graph of g(x) = 3x + 7 is a straight line, and no horizontal line will ever intersect it more than once.• Assume that g(a) = g(b) for some values 'a' and 'b'. Let's see if this leads to a = b. - 3a + 7 = 3b + 7- 3a = 3b- a = b Since we were able to conclude that a = b, it means that if two inputs produce the same output, they must be the same input. This confirms that the function is one-to-one.

Answered by yahmbc31 | 2024-09-02