Question

The table shows three unique functions. (TABLE IN PIC) Which statements comparing the functions are true? Select three options. Only f(x) and h(x) have y-intercepts. Only f(x) and h(x) have x-intercepts. The minimum of h(x) is less than the other minimums. The range of h(x) has more values than the other ranges. The maximum of g(x) is greater than the other maximums.

Answer 1

The statements that are true regarding the three functions are: Only f(x) and h(x) have y-intercepts, only f(x) and h(x) have x-intercepts, and the minimum of h(x) is less than the other minimums.

Step-by-step explanation:

The statements that are true regarding the three functions are:

1. Only f(x) and h(x) have y-intercepts. The y-intercept is the point where the graph of the function intersects the y-axis. Looking at the table, we can see that only f(x) and h(x) have non-zero y-intercepts.
2. Only f(x) and h(x) have x-intercepts. The x-intercept is the point where the graph of the function intersects the x-axis. From the table, we can see that only f(x) and h(x) have x-intercepts.
3. The minimum of h(x) is less than the other minimums. The minimum of a function is the lowest value the function reaches. Comparing the minimum values, we can see that the minimum of h(x) (-2) is less than the minimum values of f(x) (0) and g(x) (-1).