Question

Write each equation using function notation.

1. y − 2x = 5

2. y − 3x = 8x − 10

3. 2y + 6x = 10

4. −x2 = 7 − y

Answer 1

The answer to your question is 1.- f(x) = 2x + 5 2.- f(x) = 11x - 10

3.- f(x) = -3x + 5 3.- f(x) = x² + 7

Explanation:

Equations

1.- y - 2x = 5

- Solve for y

y = 2x + 5

- Use function notation

f(x) = 2x + 5

2.- y - 3x = 8x - 10

-Solve for y

y = 8x - 10 + 3x

- Simplify

y = 11x - 10

-Convert to function notation

f(x) = 11x - 10

3.- 2y + 6x = 10

-Solve for y

2y = -6x + 10

y = -6/2x + 10/2

-Simplify

y = -3x + 5

-Convert to function notation

f(x) = -3x + 5

4.- - x² = 7 - y

-Solve for y

y = x² + 7

-Convert to function notation

f(x) = x² + 7