What is the range of the function, f(x)=3x+4, given the domain is {-2, 4,,10, 16} select one: a. {-2, 19, 40, 58} b. {-2, 0, 2, 4} c. {-2, 4, 8, 13} d. {-2, 16, 34, 52}

The range of f(x) is {-2 , 16 , 34 , 52} ⇒ answer d

Step-by-step explanation:

* Lets talk about the domain and the range of a function

- The domain is the values of x (input)

- The range is the value of y of the corresponding x (output)

∵ f(x) = 3x + 4

∵ The domain is {-2 , 4 , 10 , 16}

- To find the corresponding range substitute the values of x in f(x)

∵ x = -2

- Substitute x by -2 in f(x)

∴ f(-2) = 3(-2) + 4 = -6 + 4 = -2

∵ x = 4

- Substitute x by 4 in f(x)

∴ f(4) = 3(4) + 4 = 12 + 4 = 16

∵ x = 10

- Substitute x by 10 in f(x)

∴ f(10) = 3(10) + 4 = 30 + 4 = 34

∵ x = 16

- Substitute x by 16 in f(x)

∴ f(16) = 3(16) + 4 = 52

∴ The range of f(x) is {-2 , 16 , 34 , 52}

36

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560