Trigonometry Examples

$f (x) = x (x + 5)$

Step 1

Simplify $f (x)$ .

Tap for more steps...

Step 1.1

Apply the distributive property.

$f (x) = x \cdot x + x \cdot 5$

Step 1.2

Simplify the expression.

Tap for more steps...

Step 1.2.1

Multiply $x$ by $x$ .

$f (x) = x^{2} + x \cdot 5$

Step 1.2.2

Move $5$ to the left of $x$ .

$f (x) = x^{2} + 5 x$

Step 2

The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be $0$ or $1$ . In this case, The degree of $f (x) = x^{2} + 5 x$ is $2$ , which makes the function a nonlinear function.

$f (x) = x^{2} + 5 x$ is not a linear function