Exploring Functions: Identifying Function vs. Not a Function

What is the primary question to ask when determining if a relation is a function?

• Does it have a unique y-value?

• Do the x-values repeat?

• Is it a linear equation?

• Does it pass the horizontal line test?

Which type of function is represented by a straight line?

• Linear function

• Exponential function

• Logarithmic function

• Quadratic function

If you have the equation 2x - 3, what is the y-value when x = 0?

• 2

• -3

• 3

• 0

What is the y-value for the point (3, y) in the function 2x - 3?

• 9

• 0

• 3

• 6

What shape does the graph of an absolute value function typically form?

• U-shaped

• Straight line

• V-shaped

• S-shaped

What is the absolute value of -4?

• 2

• 4

• 0

• -4

What does the vertical line test determine?

• If a graph is continuous

• If a graph is a function

• If a graph is discrete

• If a graph is linear

Which of the following shapes does NOT pass the vertical line test?

• Line

• Parabola

• Circle

• V-shape

Why can't x-values repeat in a function?

• It would make the function non-linear

• It would make the function continuous

• It would violate the definition of a function

• It would make the function undefined

Which of the following sets of points does NOT represent a function?

• (4, 5), (5, 6), (6, 7)

• (1, 2), (2, 3), (3, 4)

• (-2, 5), (0, 8), (0, -3)

• (-2, 5), (0, 8), (3, 4)