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Help with 1-5! I will give 100 points

Help with 1-5! I will give 100 points-example-1
User Debugger
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2 Answers

14 votes
14 votes

Answer:

See below ~

Step-by-step explanation:

Solutions :

6. Domain of the graph

⇒ Minimum value : x = -2

⇒ Maximum value : x = 6

⇒ Domain = [-2, 6]

===============================================================

7. Range of the graph

⇒ Minimum value : y = 0

⇒ Maximum value : y = 5

⇒ Range = [0, 5]

=============================================================

8. Function increasing

⇒ It is increasing from x = -2 to x = 1

⇒ Interval is : [-2, 1]

=============================================================

9. Function decreasing

⇒ It decreases from x = 4 to x = 6

⇒ Interval is : [4, 6]

=============================================================

10. Function constant

⇒ It remains constant from x = 1 to x = 4

⇒ Interval is : [1, 4]

User JohnB
by
2.7k points
29 votes
29 votes

Answer:

  • 1) [-2, 6]
  • 2) [0, 5]
  • 3) [-2, 1]
  • 4) [4, 6]
  • 5) [1, 4]

Step-by-step explanation:

1) Domain of a graph lies in the x axis: -2 ≤ x ≤ 6

In Interval Notation: [-2, 6]

2) Range of a graph lies in the y axis: 0 ≤ f(x) ≤ 5

In Interval Notation: [0, 5]

3) Interval where the function is increasing: -2 ≤ x ≤ 1

Interval Notation: [-2, 1]

4) Interval where the function is increasing: 4 ≤ x ≤ 6

Interval Notation: [4, 6]

5) Interval where the function is constant: 1 ≤ x ≤ 4

Interval Notation: [1, 4]

User Guillaume Mastio
by
2.9k points