Understanding Functions and Graphs

What characteristic does an even function have in terms of symmetry?

• No symmetry

• Symmetry with respect to the y-axis

• Symmetry with respect to the x-axis

• Symmetry with respect to the origin

How can you algebraically determine if a function is odd?

• f(x) = -f(-x)

• f(-x) = f(x)

• f(-x) = -f(x)

• f(x) = 0

What does it mean if a graph is increasing?

• The graph is a vertical line

• The graph is a horizontal line

• The graph is moving upwards from left to right

• The graph is moving downwards from left to right

In which interval is a function constant?

• When the graph is decreasing

• When the graph is a vertical line

• When the graph is a horizontal line

• When the graph is increasing

What is a local maximum?

• The highest point on the entire graph

• The lowest point on the entire graph

• The highest point in a specific interval

• The lowest point in a specific interval

How is a local minimum identified on a graph?

• It is the lowest point in an open interval

• It is the highest point in an open interval

• It is the lowest point on the entire graph

• It is the highest point on the entire graph

What distinguishes an absolute maximum from a local maximum?

• An absolute maximum is the highest point in a specific interval

• An absolute maximum is the highest point on the entire graph

• An absolute maximum is the lowest point on the entire graph

• An absolute maximum is the lowest point in a specific interval

Where can an absolute minimum occur on a graph?

• Only at the endpoints

• Only at the highest point

• Only in the middle of the graph

• Anywhere on the graph, including endpoints

What is the y-value of f(0) if the graph passes through the point (0, 3)?

• 1

• 5

• 3

• 0

If a graph is below the x-axis at x = 5, what is the sign of f(5)?

• Zero

• Undefined

• Negative

• Positive