Practice identifying maximum and minimum values by looking at the graph of a function.

Problem

Consider the graph of the function f which is continuous for x[6.5,7]x \in[-6.5,7].
With the graph as an aid, answer the questions below.
f, left parenthesis, minus, 4, right parenthesis is called a(n)
because minus, 4 is in the open interval I, equals, left parenthesis, minus, 6, comma, minus, 2, right parenthesis and f, left parenthesis, minus, 4, right parenthesis, is less than or equal to, f, left parenthesis, x, right parenthesis for all xIx\in I.
f, left parenthesis, minus, 2, right parenthesis is called a(n)
because minus, 2 is in the open interval I, equals, left parenthesis, minus, 4, comma, 0, right parenthesis and f, left parenthesis, minus, 2, right parenthesis, is greater than or equal to, f, left parenthesis, x, right parenthesis for all xIx\in I.
f, left parenthesis, 0, right parenthesis is called a(n)
because 0 is in the open interval I, equals, left parenthesis, minus, 2, comma, 2, right parenthesis and f, left parenthesis, 0, right parenthesis, is less than or equal to, f, left parenthesis, x, right parenthesis for all xIx\in I.
f, left parenthesis, minus, 4, right parenthesis is called the
because minus, 4 is in the closed interval I, equals, open bracket, minus, 6, point, 5, comma, 7, close bracket and f, left parenthesis, minus, 4, right parenthesis, is less than or equal to, f, left parenthesis, x, right parenthesis for all xIx\in I.
f, left parenthesis, 5, right parenthesis is called the
because 5 is in the closed interval I, equals, open bracket, minus, 6, point, 5, comma, 7, close bracket and f, left parenthesis, 5, right parenthesis, is greater than or equal to, f, left parenthesis, x, right parenthesis for all xIx\in I.
Get 5 answers correct in a row