Question 2 Part A: Three equations that all represent the same function f are shown. Select the equation that includes the value of f(0) as a number that appears in the equation.

Part B: Identify f(0)

Part A: (select all that apply)

F(x) = 2(x + 3) - 8

f(x) = 2x^2+ 12x + 10

f(x) = 2(x + 5)x + 1)

Part B:(select all that apply)

-10

-8

-5

-3

-1

0

35

00

10

I'll focus on one example: f(x)=x^2: (-2,f(-2)) and (0,f(0)) 4)

Find the average rate of change of f(x) = x^2 from x = -2 to x = 0:

f(0) - f(-2) (0)^2 - (-2)^2) 0-4

arc = = = = -2 (answer)

0-(-2) 2 2

Substitute the values of x to the equation of a function f.

f(x) = x - 5

f(-1) = -1 - 5 = -6 ≠ 0

f(0) = 0 - 5 = -5 ≠ 3

f(1) = 1 - 5 = -4 🙂

f(2) = 2 - 5 = -3 🙂

f(5) = 5 - 5 = 0 ≠ -5

f(8) = 8 - 5 = 3 ≠ -6

The required match is given by

f(-1) = -6,

f(0) = -5,

f(1) = -4,

f(2) = -3,

f(5) = 0,

f(8) = 3.

Step-by-step explanation: We are given a function f(x) defines as follows :

[tex]f(x)=x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to match the given values.

If x = -1, then from equation (i), we get

[tex]f(-1)=-1-5=-6.[/tex]

If x = 0, then from equation (i), we get

[tex]f(0)=0-5=-5.[/tex]

If x = 1, then from equation (i), we get

[tex]f(1)=1-5=-4.[/tex]

If x = 2, then from equation (i), we get

[tex]f(2)=2-5=-3.[/tex]

If x = 5, then from equation (i), we get

[tex]f(5)=5-5=0.[/tex]

If x = 8, then from equation (i), we get

[tex]f(8)=8-5=3.[/tex]

Thus, the required match is given by

f(-1) = -6,

f(0) = -5,

f(1) = -4,

f(2) = -3,

f(5) = 0,

f(8) = 3.

The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21 ⇒ A

Step-by-step explanation:

Let us use the mapping shown to solve the question

∵ f(x) = y

∵ x is the domain

∵ y is the range

→ From the figure use x from the domain and y from the range, where

each arrow pointed at the corresponding value y of x

∵ x = -1 and the corresponding value of y is 5

∴ f(-1) = 5

∵ x = 0 and the corresponding value of y is 3

∴ f(0) = 3

∵ x = 1 and the corresponding value of y is 5

∴ f(1) = 5

∵ x = 2 and the corresponding value of y is 11

∴ f(2) = 11

∵ x = 3 and the corresponding value of y is 21

∴ f(3) = 21

The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21

yes f

Step-by-step explanation:

yesf

1. f(x)=1/2x-3 f(x)=1/2x-3

f(0)=1/2(0)-3 f(6)=1/2(6)-3

f(0)=-3 f(6)=0

m=f(b) - f(a)/b - a = 0- (-3)/6 - 0 = 3/6 = 1/2

2. f(x) = -x f(x) = -x

f(-4) = -(-4) f(2) = -2

f(-4) = 4 f(2) = -2

m=f(b) - f(a)/b - a = -2 - 4/2 - (-4) = -6/6 = -1

3. f(x) = x^2 f(x) = x^2

f(-2) = -2^2 f(0) = 0^2

f(-2) = -4 f(0) = 0

m=f(b) - f(a)/b - a = 0 - (-2)/0 - (-2) = 2/2 = 1

4. f(x) = x^3 f(x) = x^3

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

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

m=f(b) - f(a)/b - a = 1 - (-1)/1 - (-1) = 2/2 = 1

5. f(x) = 2^x f(x) = 2^x

f(0) = 2^0 f(4) = 2^4

f(0) = 1 f(4) = 16

m=f(b) -f(a)/b - a = 4 - 0/ 4 - 0 = 4/4 = 1

i hope this is right, have a good day