Basic Calculus Drill

Which of the following functions is continuous on all values of x?

• polynomial functions

• rational functions

• exponential values

• radical functions

The following conditions must be satisfied for a function to be continuous EXCEPT one. Which is it?

What is the derivative of a constant?

• constant itself

• undefined

• 0

• 1

Given f(x) = 2x + 4, what is the value of f'(1)?

• 6

• 4

• 1

• 2

What values of x will the function f(x) = x³ + 5x + 3 continuous?

• 1

• 3

• 5

• all values of x

Which of the following does NOT belong to the group?

• D_xy

What is the derivative of f(x) = 4x + 5?

• 4

• 5

• 1

• 0

Different techniques are used to evaluate limits which are indeterminate of type. Which of the following is an established limit?

The slope of a tangent line is 0. What can say about its graph?

• increasing

• decreasing

• horizontal

• vertical

A function is continuous. Which of the following is TRUE about its graph?

• It has a hole or gap.

• It can be drawn without lifting your pen.

• It approaches positive infinity.

• It represents a rational function.