Describing Function Graphs

Presentation

•

Mathematics

•

7th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

19 Slides • 22 Questions

10,4 Describing Graphs

Multiple Choice

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

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

$\infty$

$-\infty$

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→⁻∞

10,4 Describing Graphs

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