Question

If h(x) < 0, then explain in words what must be true graphically. Then, state the value(s) of x for which h(x) < 0.

a) The graph of h(x) is above the x-axis, and x is negative.
b) The graph of h(x) is below the x-axis, and x is positive.
c) The graph of h(x) is below the x-axis, and x is negative.
d) The graph of h(x) is above the x-axis, and x is positive.

Answer 1

If h(x) < 0, it means that the graph of the function h(x) is below the x-axis. The values of x for which h(x) < 0 are the x-values that make h(x) negative.

Step-by-step explanation:

If h(x) < 0, it means that the graph of the function h(x) is below the x-axis. This is because any y-values below the x-axis are negative. So, option c) The graph of h(x) is below the x-axis, and x is negative is the correct choice.

To find the values of x for which h(x) < 0, you need to look for the x-values where the graph is below the x-axis. These x-values correspond to the points where h(x) is negative. So, you would look for the x-values that make h(x) negative.