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

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Test f(x)=2^(x): Let's test each given function with the points provided to see which one fits all three points. First, we will test the point (0,1) with each function.Test f(x)=3x-1: Testing f(x)=2^(x) with the point (0,1): f(0) = 2^(0) = 1. This matches the y-value of the point (0,1).Test f(x)=x^(2)+1: Testing f(x)=3x-1 with the point (0,1): f(0) = 3(0) - 1 = -1. This does not match the y-value of the point (0,1), so this function is not a match.Test f(x)=x+1: Testing f(x)=x^(2)+1 with the point (0,1): f(0) = (0)^(2) + 1 = 1. This matches the y-value of the point (0,1).Test f(x)=2^(x): Testing f(x)=x+1 with the point (0,1): f(0) = 0 + 1 = 1. This matches the y-value of the point (0,1).Test f(x)=x^(2)+1: Now, let's test the point (1,2) with the remaining functions that matched the first point.Test f(x)=x+1: Testing f(x)=2^(x) with the point (1,2): f(1) = 2^(1) = 2. This matches the y-value of the point (1,2).Test f(x)=2^(x): Testing f(x)=x^(2)+1 with the point (1,2): f(1) = (1)^(2) + 1 = 2. This matches the y-value of the point (1,2).Test f(x)=x^(2)+1: Testing f(x)=x+1 with the point (1,2): f(1) = 1 + 1 = 2. This matches the y-value of the point (1,2).Finally, let's test the point (2,5) with the remaining functions that matched the first two points.Testing f(x)=2^(x) with the point (2,5): f(2) = 2^(2) = 4. This does not match the y-value of the point (2,5), so this function is not a match.Testing f(x)=x^(2)+1 with the point (2,5): f(2) = (2)^(2) + 1 = 5. This matches the y-value of the point (2,5).Testing f(x)=x+1 with the point (2,5): f(2) = 2 + 1 = 3. This does not match the y-value of the point (2,5), so this function is not a match.

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

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