Question

Use a graphing calculator to approximate the zeros of the function. Round to the nearest hundredth, if necessary.
f(x)=x^2-7x-4

Answer 1

Using a graphing calculator, we can input the function f(x) = x^2 - 7x - 4 and find its zeros by looking for the x-intercepts of the graph.

Here's the step-by-step procedure:

1. Input the function: f(x) = x^2 - 7x - 4
2. Graph the function on the calculator.
3. Look for the x-intercepts or zeros of the graph. These points indicate where the function crosses or intersects the x-axis.
4. Use the trace or zoom functions on the graphing calculator to move along the x-axis and locate the x-values of the zeros.
5. Round the x-values of the zeros to the nearest hundredth, if necessary.

After following this procedure, we obtain the approximated zeros of the function f(x) = x^2 - 7x - 4 as:

x ≈ -0.62 and x ≈ 7.62

These are the approximate values of the x-coordinates where the function crosses the x-axis.