Use a graphing calculator to approximate the zeros of the function. Round to the nearest hundredth, if necessary.
f(x)=x^2-7x-4
A)7.46 and -0.54
B)8.47 and -0.47
C)7.46 and0.54
D)0.47 and -8.47
To approximate the zeros of the function f(x) = x^2 - 7x - 4 using a graphing calculator, follow these steps:
1. Enter the function into the graphing calculator:
y = x^2 - 7x - 4
2. Set the window settings on the calculator to view an appropriate range of x-values that encompasses the zeros. For example, you can set the x-axis from -10 to 10 and the y-axis from -50 to 50.
3. Graph the function. The graph will display a parabola.
4. Locate the x-intercepts of the graph. These are the points where the graph intersects the x-axis, indicating the zeros of the function.
5. Use the calculator's trace feature or cursor to estimate the x-values of the x-intercepts.
6. Round the estimated x-values to the nearest hundredth.
Based on the calculations, the approximated zeros of the function are 7.46 and -0.54.
Therefore, the correct answer is A) 7.46 and -0.54.