Question

question 8

what is a maximum on a graph?

• the highest point of the graph.
• the lowest point of the graph.
• the point where the graph crosses the \\(y\\)-axis.
• the point where the graph crosses the \\(x\\)-axis.

question 9

what is the minimum value of a graph?

• the lowest point on a graph.
• the point where the graph is decreasing.
• the point where the graph crosses the \\(x\\)-axis.
• the highest point on a graph.

Explanation:

Analyze Question 8

The question asks for the definition of a maximum on a graph. By definition, a maximum represents the highest point or value that a function or graph reaches. Comparing this with the choices:

• "The highest point of the graph" matches this definition.
• "The lowest point of the graph" defines a minimum.
• "The point where the graph crosses the \(y\)-axis" defines the \(y\)-intercept.
• "The point where the graph crosses the \(x\)-axis" defines an \(x\)-intercept.

Analyze Question 9

The question asks for the definition of the minimum value of a graph. By definition, a minimum represents the lowest point or value that a function or graph reaches. Comparing this with the choices:

• "The lowest point on a graph" matches this definition.
• "The point where the graph is decreasing" refers to an interval of decrease, not a single minimum value.
• "The point where the graph crosses the \(x\)-axis" defines an \(x\)-intercept.
• "The highest point on a graph" defines a maximum.

Answer:

Question 8

• The highest point of the graph. (Correct answer)
• The lowest point of the graph.
• The point where the graph crosses the \(y\)-axis.
• The point where the graph crosses the \(x\)-axis.

Question 9

• The lowest point on a graph. (Correct answer)
• The point where the graph is decreasing.
• The point where the graph crosses the \(x\)-axis.
• The highest point on a graph.