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