Question

Consider the function, f (x) = 2x – 1 Use the above function to complete the following table.

Answer 1

Answer:

x     f(x)

1       1

0     -1

-1     -3

2      3

Step-by-step explanation:

∵ The given function is f(x) = 2x - 1

∵ The table has the values of x

→ Substitute the values of x in the function to find the values of f(x)

∵ x = 1

→ Replace every x in the function by 1

∴ f(1) = 2(1) - 1

∴ f(1) = 2 - 1

∴ f(1) = 1

∵ x = 0

→ Replace every x in the function by 0

∴ f(0) = 2(0) - 1

∴ f(0) = 0 - 1

∴ f(0) = -1

∵ x = -1

→ Replace every x in the function by -1

∴ f(-1) = 2(-1) - 1

∴ f(-1) = -2 - 1

∴ f(-1) = -3

∵ x = 2

→ Replace every x in the function by 1

∴ f(2) = 2(2) - 1

∴ f(2) = 4 - 1

∴ f(2) = 3

The missing values in the table are 1, -1, -3, 3

x      f(x)

1       1

0     -1

-1     -3

2      3