Have you observed a pattern? if yes, state so.

Have you observed a pattern? If yes, state so.

a. f(x) = 2x  (increases)

b. f(x) = 2x + 1 (increases)

c. f(x) = -3x (decreases)

d. f(x) = -3x – 4 (decreases)

e. f(x) = 2 – 3x (decreases)

answer

Yes, I have observed a pattern. From the given values of x, substituting the numbers to each function will prove and support the answer to be stated. There are different functions to substitute the 3 values for each functions and pattern can be observed from that point. Determining the values as (a) f(-3), (b) f(1), and (c) f(4) in each of the  following functions, the values of f(x) as x increases would be:

Pattern Observed

The value of f(x) in the function f(x) = 2x increases as x increases in a positive function.

Pattern Observed

The value of f(x) in the function f(x) = 2x + 1 increases as x increases in a positive function.

Pattern Observed

The value of f(x) in the function f(x) = -3x decreases as x increases in a negative function.

Pattern Observed

The value of f(x) in the function f(x) = -3x - 4 decreases as x increases in a negative function.

Pattern Observed

The value of f(x) in the function f(x) = 2 -3x decreases as x increases in a negative function.

Code 8.3.2.3.3

1) a. -6, 2, 8

b. -5, 3, 9

c. 9, -3, -12

d. 5, -7, -16

e. 11, -1, -10

Step-by-step explanation:

Given Function- f(-3), f(1), f(4)

a. f(x)= 2x

f(-3)= 2(-3) = -6

f(1) = 2(1) = 2

f(4)= 2(4) = 8

b. f(x)= 2x+1

f(-3)= 2(-3)+1 = -6+1 = -5

f(1)= 2(1)+1 = 2+1 = 3

f(4)= 2(4)+1 = 8+1 = 9

c. f(x)= -3x

f(-3)= -3(-3) = 9

f(1)= -3(1) = -3

f(4)= -3(4) = -12

d. f(x)= -3x-4

f(-3)= -3(-3)-4 = 9-4 = 5

f(1)= -3(1)-4 = -3-4 = -7

f(4)= -3(4)-4 = -12-4 = -16

e. f(x)= 2-3x

f(-3)= 2-3(-3) = 2+9 = 11

f(1)= 2-3(1) = 2-3 = -1

f(4)= 2-3(4) = 2-12 = -10

Hope it helps you identify the functions. <3

1.The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

2.

3. When the value of x increases, the value of y decreases and the graph slants downward.

4. Change of values of the function is dependent on the dependent variables given as (a) f(-3), (b) f(1), and (c) f(4). Let x= -3, f(-3) = 2(-3) + 1 , therefore ,the value of f(x) at x = -3 is -5. Let x=1, f(1) = 2(1) + 1 , therefore ,the value of f(x) at x = 1 is 3.

5. yes