Inverse Relations and Functions Quiz

What happens to the coordinates of a relation when finding its inverse?

• They are divided by 2.

• They are multiplied by 2.

• They remain the same.

• The x and y coordinates are switched.

What is the result of reflecting a relation across the line y = x?

• The relation becomes its inverse.

• The relation disappears.

• The relation becomes a circle.

• The relation becomes a parabola.

What does the horizontal line test determine?

• If a relation is a parabola.

• If the inverse of a relation is a function.

• If a relation is a line.

• If a relation is a circle.

What indicates that a graph passes the horizontal line test?

• The horizontal line intersects the graph at exactly one point.

• The horizontal line does not intersect the graph.

• The horizontal line intersects the graph at multiple points.

• The horizontal line intersects the graph at two points.

What is the significance of symmetry across the line y = x in inverse functions?

• It confirms the function and its inverse are reflections.

• It shows the function is linear.

• It means the function is not invertible.

• It indicates the function is quadratic.

What does the notation F to the -1 represent?

• The derivative of the function.

• The original function.

• The inverse of the function.

• The integral of the function.

What must be true for two functions to be inverses of each other?

• Their compositions must simplify to y.

• Their compositions must simplify to x.

• Their compositions must equal one.

• Their compositions must equal zero.

What is the result of the composition F(G(x)) if F and G are inverses?

• It equals zero.

• It equals x.

• It equals one.

• It equals y.

What happens when you square a square root in the context of verifying inverses?

• The square root remains.

• The square root is doubled.

• The square root is halved.

• The square root is eliminated.

What is the final step in verifying two functions are inverses?

• Graphing both functions.

• Finding the derivative of both functions.

• Ensuring both compositions simplify to x.

• Checking if their graphs intersect.