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For fx), evaluate the following:
a. (0)
b. (6)

For fx), evaluate the following: a. (0) b. (6)-example-1

1 Answer

11 votes

Answer:

a. f(0) = 4

b. f(6) = 8

Explanation:

Let us solve the question

f(x) = x + 4 if x < 5 First part

→ That means if x less then 5 we will use this part of f(x)

f(x) = 8 if 5 ≤ x < 7 Second part

→ That means if x = 5 or greater than 5 and less than 7, we will use

this part of f(x)

f(x) = 2x - 1 if 7 ≤ x ≤ 10Third part

→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,

we will use this part of f(x)

a. The value of f(0)

x = 0

∵ 0 < 5

→ That means we will use the first part of f(x)

∵ f(x) = x + 4

∴ f(0) = 0 + 4

f(0) = 4

b. The value of f(6)

x = 6

∵ 6 is between 5 and 7

→ That means we will use the second part of f(x)

∵ f(x) = 8

→ It means the value of f(x) is 8 for any values of x from 5 to less than 7

f(6) = 8

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