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Answer :
1. A function is represented by an equation where each input value corresponds to exactly one output value, passing the vertical line test.
2. The vertex of the graph of the quadratic function G(x) = x^2 + 8x + 6 is (-4, -4).
3. The range of the function g(x) = x^2 + 121 is all real numbers greater than or equal to 121.
4. The vertex of the graph of the linear function f(x) = 5x + 6 is (0, 6).
1. A function is graphed on a coordinate plane when each x-coordinate has a unique corresponding y-coordinate, ensuring that no vertical line intersects the graph more than once.
2. The vertex of a quadratic function can be found using the vertex formula, which is -b/2a. For G(x) = x^2 + 8x + 6, the vertex is (-4, -4) obtained by substituting the values of a and b into the formula.
3. The range of a quadratic function can be determined by analyzing the minimum or maximum value. Since x^2 is non-negative, adding 121 to it results in all real numbers greater than or equal to 121.
4. The vertex of a linear function can be found using the formula (-b/2a, f(-b/2a)). For f(x) = 5x + 6, the vertex is (0, 6) calculated by substituting the values of a and b into the formula.
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