Describing Function Graphs

10,4 Describing Graphs

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Multiple Choice

How many extrema (max and mins) are in the picture?

• 2

• 3

• 4

• 5

Multiple Choice

How many extrema are there in this graph?

• 2 max, 2 min

• 3 max, 2 min

• 2 man, 3 min

• 3 increasing intervals, 2 decreasing intervals

• 2 increasing intervals, 3 decreasing intervals

Multiple Choice

What are the extrema of the graph?

• Max = (2, -3), (1, 2)

  Min = (-3, -1), (-1, 4)

• Max = (-3, -1), (-1, 4)

  Min = (2, -3), (1, 2)

• Max = (-1, -3), (4, -1)

  Min = (-3, 2), (2, 1)

• Max = (-3, 2), (2, 1)

  Min = (-1, -3), (4, -1)

Multiple Choice

What is the value of the absolute minimum for the following function?

$$f\left(x\right)=\left(x-2\right)^2-4$$  

• x = -4

• x = 0

• x = 2

• x = 4

• Does Not Exist

Multiple Choice

What is the location of the absolute maximum for the graphed function?

• x = 1

• x = 3

• x = 4

• x = 5

• Does Not Exist

Multiple Choice

Identify the global (or absolute) maximum.

• -2

• 1

• $$\infty$$

• $$-\infty$$

Multiple Choice

Identify the local minimum

• x = 8

• x = 4

• $$\infty$$

• x = 2

Multiple Choice

Find the local maximum and minimum

• Local max at x = -3

  Local min at x = -3

• Local max at x = 1

  Local min at x = -3

• Local max at x = -3

  Local min at x = 1

• $$\left(-\infty,\ \infty\right)$$

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D: {-4, 0, 1, 2}
  R:{-4, -3, 1}
• D: {0, 1, 2, 3, 4}
  R:{1, -3, -4}
• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}

Multiple Choice

What is the range of the graph?

• -7 ≤ x < 5
• -3 ≤ x < 1
• -3 ≤ y < 1
• -7 ≤ y < 5

Multiple Choice

What is the domain of the graph?

• -7 ≤ x < 5
• -3 ≤ x < 1
• -3 ≤ y < 1
• -7 ≤ y < 5

Multiple Choice

What is the proper range?

• x≥0
• y≥0
• All real numbers
• {0, 1, 2, 3, 4,...}

Multiple Choice

What is the proper domain?

• x≥0
• y≥0
• All real numbers
• {0, 1, 2, 3, 4,...}

Multiple Choice

What is the range?

• x = 2
• −∞ < x < ∞
• y = 2
• none of these

Multiple Choice

What is the domain?

• x = 2
• −∞ < x < ∞
• y = 2
• none of these

Multiple Choice

What is the range of the graph?

• y≥1
• x≥1
• All real numbers
• none of these

Multiple Choice

What is the domain of the graph?

• y≥1
• x ≥ 1
• All real numbers
• none of these

Multiple Choice

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Multiple Choice

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→∞ and x→⁻∞, y→⁻∞

Multiple Choice

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞
• x → ∞, y→ ∞ and x→⁻∞, y→∞
• x → ∞, y→ ∞ and x→⁻∞, y→ 0
• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

Multiple Choice

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Multiple Choice

Describe the end behavior of the graph.

• x →∞, y→∞ and x→∞, y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→0 and x→∞, y→⁻∞