Finite Math Examples

$y - 4 = 3 (x + 2)$

Step 1

Simplify $3 (x + 2)$ .

Tap for more steps...

Step 1.1

Rewrite.

$y - 4 = 0 + 0 + 3 (x + 2)$

Step 1.2

Simplify by adding zeros.

$y - 4 = 3 (x + 2)$

Step 1.3

Apply the distributive property.

$y - 4 = 3 x + 3 \cdot 2$

Step 1.4

Multiply $3$ by $2$ .

$y - 4 = 3 x + 6$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.1

Add $4$ to both sides of the equation.

$y = 3 x + 6 + 4$

Step 2.2

Add $6$ and $4$ .

$y = 3 x + 10$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 4

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${y | y \in ℝ}$

Step 5

Determine the domain and range.

Domain: $(- \infty, \infty), {x | x \in ℝ}$

Range: $(- \infty, \infty), {y | y \in ℝ}$

Step 6