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Three points on the graph of the function f, of, xf(x) are left curly bracket, left parenthesis, 0, comma, 1, right parenthesis, comma, left parenthesis, 1, comma, 2, right parenthesis, comma, left parenthesis, 2, comma, 5, right parenthesis, right curly bracket{(0,1),(1,2),(2,5)}. Which equation could represent f, of, xf(x)?
Answer
Multiple Choice Answers
f, of, x, equals, 3, x, minus, 1f(x)=3x−1
f, of, x, equals, x, squared, plus, 1f(x)=x
2
+1
f, of, x, equals, 2, to the power xf(x)=2
x

f, of, x, equals, x, plus, 1f(x)=x+1

Answer 1

Examples:

1. Using the equation f(x) = 3x - 1:
f(0) = 3(0) - 1 = -1
f(1) = 3(1) - 1 = 2
f(2) = 3(2) - 1 = 5

2. Using the equation f(x) = x^2 + 1:
f(0) = (0)^2 + 1= 1
f(1) = (1)^2 + 1 = 2
f(2) = (2)^2 + 1 = 5

3. Using the equation f(x) = x + 1:
f(0) = 0 + 1 = 1
f(1) = 1 + 1 = 2
f(2) = 2 + 1 = 3

Based on the given points, the correct equation that represents f(x) is "f of x equals x squared plus 1" or f(x) = x^2 + 1.