Question

for where I have to choose the options it is," The (minimum) or (Maximum) value of f(x) is _ and there is no (minimum) or (Maximum) value. The (minimum) or (Maximum) value of g(x) is _ and there is no (minimum) or (Maximum) value. Therefore f(x) has a (greater) or (smaller) (minimum) or (Maximum) value than g(x).

Answer 1

- In order to compare the minimum/maximum values of both functions, f(x) and g(x), we should plot the values of g(x) on a graph. We can then compare this graph with the graph of f(x) given.

- The graph g(x) is given below:

- From the graph of f(x), it has a peak at the coordinate point (4, 5). This implies that the maximum value of f(x) is the y-coordinate of (4, 5). That is, the maximum value of f(x) is 5

- From the graph of g(x), it also has a peak at the coordinate point (-3, 7). This implies that the maximum value of g(x) is 7.

- Neither f(x) nor g(x) have minimum values

- Since 7 > 5, f(x) has a smaller maximum value than g(x)

Final Answer

The Answers are:

- The maximum value of f(x) is 5 and there is NO minimum value

- The maximum value of g(x) is 7 and there is NO minimum value

- f(x) has a smaller maximum value than g(x)