Question

The table of values represents the function t(x) and the graph shows the function g(x).

Which statement is true?
The table has fewer x-intercepts than the graph.


Both functions have the same y-intercept.


The graph g(x) has a greater y-intercept compared to the table t(x).


The maximum value of the table t(x) has a greater maximum value that the graph g(x).

Answer 1

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Explanation:

The table shows t(x) has two (2) x-intercepts: t(-3) = t(5) = 0. The graph shows g(x) has two (2) x-intercepts: g(1) = g(5) = 0. Neither function has fewer x-intercepts than the other.

The table shows the y-intercept of t(x) to be t(0) = 3. The graph shows the y-intercept of g(x) to be g(0) = -1. The y-intercepts are not the same, and that of t(x) is greater than that of g(x).

The table shows the maximum value of t(x) to be t(1) = 4. The graph shows the maximum value of g(x) to be g(3) = 2. Thus ...

the maximum value of t(x) is greater than the maximum value of g(x)