Calculus - Quizizz #1 (Derivatives)

What is the limit as x approaches -4?

• 1

• -1

• Does not exist

There are REMOVABLE discontinuities at:

• x = 1 only

• x = -4 and x = 4

• x = -4, x = 1,

  and x = 4

• x = -4 and x = 1

There are NON-REMOVABLE discontinuities at:

• x = 1 only

• x = -4, x = 1,

  and x = 4

• x = -4 and x = 4

• x = -4 and x = 1

What is a DERIVATIVE?

• A tangent line equation

• A synonym for the graph of f(x)

• The slope of the SECANT line to f(x)

• The slope of the TANGENT line to f(x)

Why is the graph NOT differentiable at x = 1?

• The graph is discontinuous.

• The graph oscillates.

• There is a vertical asymptote.

• There is a vertical tangent line.

At which x-values is the graph of f(x)

NOT differentiable?

• x = -4, x = 1,

  and x= 4

• x = 1 only

• x = -4 and x = 4

• x = -4 and x = 1

At what x-values between -4 and 6

is the graph of f(x) NOT differentiable?

• x = 1 and x = 4

• x = 1 and x = 2

• x = 0, x = 1,

  and x = 4

• x = -2 and x = 2

If f(x) is differentiable at x = c,

then f(x) MUST be continuous at x = c.

• True

• False