Precalculus Assignment: Classifying Discontinuities

• Jump discontinuity at x = -2

• Removable discontinuity at x = -2

• Oscillating discontinuity at x = -2

• Infinite discontinuity at x = -2

Tags

CCSS.HSF-IF.C.7D

• Jump discontinuity at x = 3

• Infinite discontinuity at x = 3

• Removable discontinuity at x = 3

• Continuous at x = 3

• Oscillating discontinuity at x = -1

• Continuous at x = -1

• Infinite discontinuity at x = -1

• Removable discontinuity at x = -1

Determine if each function is continuous at the given x-values. If not continuous, classify each discontinuity. 4) f(x) = { -x - 3, x ≠ 0; 0, x = 0 } at x = 0

• Infinite discontinuity at x = 0

• Oscillating discontinuity at x = 0

• Removable discontinuity at x = 0

• Continuous at x = 0

Tags

CCSS.HSF-IF.C.7D

For the function f(x) = { -x - 3, x ≠ -2; -3, x = -2 } at x = -2 (see the graph), what type of discontinuity is present at x = -2?

• Removable discontinuity at x = -2

• Continuous at x = -2

• Oscillating discontinuity at x = -2

• Jump discontinuity at x = -2

Tags

CCSS.HSF-IF.C.7B

Approximate all points of relative extrema of each function.

• Relative minimum: (−1, 0) No relative maxima.

• Relative minimum: (0, −3) No relative maxima.

• Relative minimum: (0, −3) Relative maxima: (−1.2, −0.8), (1.2, −0.8)

• Relative minima: (−0.7, −0.3), (0.7, −0.3) Relative maximum: (0, 0)

Approximate all points of relative extrema of each function.

• Relative minimum: (1, 2) No relative maxima.

• Relative minimum: (2, 0) No relative maxima.

• No relative minima. Relative maximum: (0, −0.6)

• Relative minimum: (4, 1) No relative maxima.

Refer to the given graph. Which of the following correctly identifies the relative minimum and maximum points?

• Relative minimum: (0, 0.8) No relative maxima.

• No relative minima. Relative maximum: (0, -0.3)

• Relative minima: (-1, 1), (1, 1) Relative maximum: (0, 2)

• Relative minimum: (-1, -4) Relative maximum: (3, -1)

Refer to the given graph. Which of the following correctly identifies the relative minimum and maximum points?

• Relative minima: (-1.4, -1), (1.4, -1) Relative maximum: (0, 3)

• Relative minimum: (0, 2) Relative maximum: (2, 6)

• Relative minima: (-1.2, -2.3), (1.2, -2.3) Relative maximum: (0, 0)

• Relative minimum: (4, -6) Relative maximum: (0, 4)

Refer to the given graph. Which of the following correctly identifies the relative minimum and maximum points?

• Relative minimum: (-6, 0) No relative maxima.

• Relative minimum: (-1, -5) No relative maxima.

• Relative minimum: (0, 4) Relative maxima: (-0.7, 4.3), (0.7, 4.3)

• Relative minimum: (-1, -4) Relative maximum: (0.3, -2.8)