Three points on the graph of the function f(x) are {(0,1),(1,2),(2,5)}. Which equation represents f(x) ? f(x)=x^(2)+1 f(x)=2^(x) f(x)=x+1 f(x)=3x-1

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Three points on the graph of the function  f(x) are  {(0,1),(1,2),(2,5)}. Which equation represents  f(x) ?  f(x)=x^(2)+1  f(x)=2^(x)  f(x)=x+1  f(x)=3x-1

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Test Equation 1: Test the first equation f(x) = x^2 + 1 with the given points. For (0,1): f(0) = 0^2 + 1 = 1. For (1,2): f(1) = 1^2 + 1 = 2. For (2,5): f(2) = 2^2 + 1 = 5. All three points satisfy the equation f(x) = x^2 + 1.Test Equation 2: Test the second equation f(x) = 2^x with the given points. For (0,1): f(0) = 2^0 = 1. For (1,2): f(1) = 2^1 = 2. For (2,5): f(2) = 2^2 = 4, which does not match the given point (2,5). This equation does not represent the function f(x) based on the given points.Test Equation 3: Test the third equation f(x) = x + 1 with the given points. For (0,1): f(0) = 0 + 1 = 1. For (1,2): f(1) = 1 + 1 = 2. For (2,5): f(2) = 2 + 1 = 3, which does not match the given point (2,5). This equation does not represent the function f(x) based on the given points.Test Equation 4: Test the fourth equation f(x) = 3x - 1 with the given points. For (0,1): f(0) = 3*0 - 1 = -1, which does not match the given point (0,1). This equation does not represent the function f(x) based on the given points.

Three points on the graph of the function $f(x)$ are $\{(0,1),(1,2),(2,5)\}$ . Which equation represents $f(x)$ ? $\newline$ $f(x)=x^{2}+1$ $\newline$ $f(x)=2^{x}$ $\newline$ $f(x)=x+1$ $\newline$ $f(x)=3 x-1$

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