Question

Given the function. Calculate the following values:

Answer 1

The solution to the piecewise functions are:

a) f(-1) = -3

b. f(0) = 10

c. f(2) = 26

How to solve the piecewise function?

a. f(-1): -1 is less than 0, and as such we will use the first equation to get:

f(x) = 8x + 5)

Thus:

f(-1) = 8(-1) + 5

f(-1) = -3

b. f(0): The value of x is equal to 0 and as such we will use the second equation f(x) = 8x + 10 to get:

f(0)= 8(0) + 10 = 10

c. f(2): 2 is greater than 0, and as such we will use the second equation

f(x) = 8x + 10 to get:

f(2) = 8(2) + 10 = 26

Answer 2

f (-1) = -3

f (0) = 10

f (2) = 26

Step-by-step explanation:

The given function is a piece-wise function. This means that we choose the equation to substitute in based on the given value of x (the input)

We are given that:

If the value of x is less that 0, then the function is:

f(x) = 8x + 5

If the value of x is equal to or more than 0, then the function is:

f(x) = 8x + 10

Now, let's check the required values:

a. f(-1): The given value of x is less than 0, so we substitute in the first equation

f(-1) = 8x + 5 = 8(-1) + 5 = -3

b. f(0): The value of x is equal to 0, so we substitute in the second equation

f(0) = 8x + 10 = 8(0) + 10 = 10

c. f(2): The value of x is more than 0, so we substitute in the second equation

f(2) = 8x + 10 = 8(2) + 10 = 26

Hope this helps :)