Question

Find the factors of function f. = 14 - 5.13 – 412 + 20.0

Based on the factors, which statement is true about the graph of function

A The graph crosses the x-axis at the point (4,0).
B The graph crosses the x-axis at the point (-5,0)
C The graph crosses the x-axis at the point (2,0).
D The graph crosses the x-axis at the point (-4,0).

Answer 1

To find the factors of the given function, solve the quadratic equation using the quadratic formula and determine the points where the graph crosses the x-axis. The graph crosses the x-axis at the point (4,0). Hence the correct answer is option A

Step-by-step explanation:

The given function is a quadratic equation of the form ax² + bx + c = 0, where a = 4.90, b = -14.3, and c = -20.0. To find the factors of the function, we can solve the equation by using the quadratic formula. The solutions of the equation are the x-values where the function crosses the x-axis.

To use the quadratic formula, plug in the values of a, b, and c into the formula: x = (-b ± √(b² - 4ac)) / (2a). After substituting the values, we can simplify the formula and calculate the solutions.

Based on the solutions, we can determine the points where the graph of the function crosses the x-axis. The correct option that represents the point where the graph crosses the x-axis is (4,0), so the statement A is true.

Hence the correct answer is option A