Decreasing function - Examples, Exercises and Solutions

We will say that a function is decreasing when, as the value of the independent variable X X increases, the value of the function Y Y decreases.

Suggested Topics to Practice in Advance

  1. Ways to represent a function
  2. Representing a Function Verbally and with Tables
  3. Graphical Representation of a Function
  4. Algebraic Representation of a Function
  5. Notation of a Function
  6. Rate of Change of a Function
  7. Variation of a Function
  8. Rate of change represented with steps in the graph of the function
  9. Rate of change of a function represented graphically
  10. Constant Rate of Change
  11. Variable Rate of Change
  12. Rate of Change of a Function Represented by a Table of Values

Practice Decreasing function

Exercise #1

In what interval is the function increasing?

Purple line: x=0.6 x=0.6

111222333111000

Video Solution

Answer

x<0.6

Exercise #2

In what domain does the function increase?

–20–20–20–10–10–10101010202020–10–10–10101010000

Video Solution

Answer

x > 0

Exercise #3

In what domain is the function negative?

–0.5–0.5–0.50.50.50.51111.51.51.5222000

Video Solution

Answer

x > 1

Exercise #4

In what domain is the function increasing?

–5–5–5555101010151515–5–5–5555000

Video Solution

Answer

Entirex x

Exercise #5

In what domain does the function increase?

000

Video Solution

Answer

x<0

Exercise #1

In what domain does the function increase?

Black line: x=1.1 x=1.1

–2–2–2222444666222000

Video Solution

Answer

1.1 > x > 0

Exercise #2

In which interval does the function decrease?

Red line: x=1.3 x=1.3

–4–4–4–2–2–2222444666888101010–2–2–2222444000

Video Solution

Answer

1.3 > x > -1.3

Exercise #3

In what domain does the function increase?

Green line:
x=0.8 x=-0.8

–2–2–2222222000

Video Solution

Answer

All values of x x

Exercise #4

In which interval does the function decrease?

Red line: x=0.65 x=0.65

111222333–1–1–1111000

Video Solution

Answer

All values of x x

Exercise #5

In which domain is the function increasing?

f(x)x-44-1100116210014-78-9

Video Solution

Answer

10 > x > 0

Exercise #1

In which domain does the function decrease?

f(x)x001223354352607-4

Video Solution

Answer

x>3

Exercise #2

In which domain is the function increasing?

f(x)x-54-11102-14-25-57-78-9

Video Solution

Answer

No upward dominance

Exercise #3

In which domain does the function decrease?

f(x)x-57-1.58-110014215303.5250

Video Solution

Answer

Answers B and C are correct

Exercise #4

In which domain is the function increasing?

x-1010-78-360425463.5789

Video Solution

Answer

x>0

Exercise #5

In which domain does the function decrease?

x-210-1.58-0.560021353.5759

Video Solution

Answer

x<0

Topics learned in later sections

  1. Functions for Seventh Grade
  2. Increasing and Decreasing Intervals (Functions)
  3. Increasing functions
  4. Constant Function
  5. Interval of decrease of the function
  6. Increasing Intervals of a function
  7. Domain of a Function
  8. Indefinite integral
  9. Inputing Values into a Function