Question

what does the ordered pair (-6,7) represent in the context of a function graph? a maximum point on the graph a function value where f(-6)=7 x intercept at -6 and y intercept at 7 a minimum point on the graph

Explanation:

Step1: Recall the definition of ordered pair in function graph

In a function \( y = f(x) \), an ordered pair \((x,y)\) represents that when \( x \) is input, \( y \) is the output.
For the ordered pair \((-6,7)\), \( x=-6 \) and \( y = 7 \). So it means \( f(-6)=7 \).

Step2: Analyze other options

• A maximum or minimum point requires information about the behavior of the function around the point (e.g., increasing - decreasing trends), which is not given.
• For \(x\)-intercept, \(y = 0\); for \(y\)-intercept, \(x=0\). Here \(x=-6

eq0\) and \(y = 7
eq0\), so it is not an \(x\)-intercept or \(y\)-intercept.

Answer:

B. A function value where \( f(-6) = 7 \)