Pre-Course Assessment Calculus I

Which of the following represents a function?

What is the graph of a quadratic function typically called?

• Line
• Circle
• Parabola
• Hyperbola

Which of the following describes an exponential function?

• f(x) = x²

• f(x) = 2^x

• f(x) = 1/x
• f(x) = log(x)

• x > 0
• R\{0}

• x < 0
• x = 0

How would you describe the limit of a function?

• The value a function takes at x=0
• The value a function approaches as x approaches a specific point
• The maximum value of a function
• The slope of a function at a point

• 0
• 3
• 6
• 9

A function is continuous at a point if:

• The function is differentiable at that point
• The limit exists and the function is defined at that point
• The function has a vertical asymptote
• The derivative of the function exists

• x = 0
• x = 1
• x = -1
• No discontinuities

The derivative of a function represents:

• The slope of the function at a point
• The area under the curve
• The x-intercept of the function
• The average value of the function