# Which graph represents an exponential function

## Which graph is an exponential decay function?

Any graph that looks like the above (

**big on the left and crawling along the x-axis on the right**) displays exponential decay, rather than exponential growth. For a graph to display exponential decay, either the exponent is “negative” or else the base is between 0 and 1.## How do you represents an exponential function?

**An exponential function is written in the form y = abx.**

- y represents the output.
- a represents the initial value of the function.
- b represents the rate of growth.
- x represents the input.

## How do you graph an exponential function?

**How To: Given an exponential function of the form f(x)=bx f ( x ) = b x , graph the function**

- Create a table of points.
- Plot at least 3 point from the table including the y-intercept (0,1) .
- Draw a smooth curve through the points.
- State the domain, (−∞,∞) , the range, (0,∞) , and the horizontal asymptote, y=0 .

## How do you tell if a graph is exponential or linear?

**Linear and exponential relationships differ in the way the y-values change when the x-values increase by a constant amount:**

- In a linear relationship, the y-values have equal differences.
- In an exponential relationship, the y-values have equal ratios.

## How do you graph exponential functions on Desmos?

## Which of the following is exponential function?

Exponential functions have the form

**f(x) = b**, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.^{x}## Is the function linear or exponential?

Linear function – has the form y = mx + b where the rate of change is constant m. Graph is a straight line.

**Exponential function**– has the form y = a^x, where the rate of change is NOT constant and is different for different values of x.## Which graph represents a linear function?

straight line

Linear functions are those whose graph is

**a straight line**. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.## What is exponential growth on a graph?

Exponential growth is

**a pattern of data that shows greater increases with passing time**, creating the curve of an exponential function.## How do you write an exponential function from a table?

## Do exponential functions have slopes?

The

**slope**.**An exponential function is either always increasing or always decreasing**. … If f ( 1 ) > f ( 0 ) f(1)>f(0) f(1)>f(0)f, left parenthesis, 1, right parenthesis, is greater than, f, left parenthesis, 0, right parenthesis, then the slope of the graph is positive.