# What happens when an exponential function is negative?

## What happens when an exponential function is negative?

(This function can also be expressed as f(x) = (1/2)x.) Again, this graph has the line y = 0 as an asymptote. Note that if b is negative, the curve will curve downward as the x values increase. Note that if the exponent is negative, the curve will tend upward in the negative x values.

**Can exponential growth functions be negative?**

Because of their inability to consistently increase or decrease and restrictions on the domain, exponential functions cannot have negative bases.

**What is a negative exponential relationship?**

Exponential Function We say a function is growing exponentially or has exponential growth when the rate at which it increases is proportional to its value: dydx∝y d y d x ∝ y . The negative exponential function is y=e−x y = e − x . As the the value for x becomes larger, e−x approaches zero.

### Can an exponential curve be negative?

The rate may be positive or negative. If negative, it is also known as exponential decay. asymptote: A line that a curve approaches arbitrarily closely. An asymptote may be vertical, oblique or horizontal.

**How do you solve a negative exponential function?**

Most questions will ask you to solve negative exponents by expressing them as positive equations. Here’s how: Flip the base and exponent into the reciprocal, then solve the denominator. Divide the numerator by the denominator to find the final decimal.

**How do you distribute negative exponents?**

Distributing with negative exponents means that you’ll have fractional answers. A base that has a negative exponent can be changed to a fraction. The base and the exponent become the denominator, but the exponent loses its negative sign in the process. You then cap it all off with a 1 in the numerator.

#### How do you do negative exponents with variables?

A base that has a negative exponent can be changed to a fraction. The base and the exponent become the denominator, but the exponent loses its negative sign in the process. You then cap it all off with a 1 in the numerator.