# How do you graph an exponential graph?

## How do you graph an exponential graph?

Graphing Exponential Functions

- Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.
- Replacing x with x+h translates the graph h units to the left.
- Replacing y with y−k (which is the same as adding k to the right side) translates the graph k units up.

**How do you graph exponential functions examples?**

An exponential growth function can be written in the form y = abx where a > 0 and b > 1. The graph will curve upward, as shown in the example of f(x) = 2x below….

- Graph y = 3x
- Graph y = −(3/2)x
- Graph y = 2 × 5x
- Graph y = −2 ÷ 5x
- Graph y = 3x − 2

**What is a exponential graph?**

At the most basic level, an exponential function is a function in which the variable appears in the exponent. The most basic exponential function is a function of the form y=bx y = b x where b is a positive number. When b>1 the function grows in a manner that is proportional to its original value.

### How do you write an exponential growth function?

Exponential Function exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.

**How do you know if a graph is exponential?**

Graphs of Exponential Functions

- The graph passes through the point (0,1)
- The domain is all real numbers.
- The range is y>0.
- The graph is increasing.
- The graph is asymptotic to the x-axis as x approaches negative infinity.
- The graph increases without bound as x approaches positive infinity.
- The graph is continuous.

**How do you tell if a graph is exponential or logarithmic?**

The inverse of an exponential function is a logarithmic function. Remember that the inverse of a function is obtained by switching the x and y coordinates. This reflects the graph about the line y=x. As you can tell from the graph to the right, the logarithmic curve is a reflection of the exponential curve.

#### How is the graph of an exponential function defined?

The graph is nothing but the graph y = log3(x) translated 2 units to the right and 4 units up. As x tends to 2 , the function approaches the line x = 2 but never touches it. As x tends to ∞ the value of the function also tends to ∞ . That is, the function is defined for real numbers greater than 2 .

**How does the base affect the exponential function?**

Reading the graph from left to right, it is interpreted as decreasing exponentially. The base affects the rate at which the exponential function decreases or decays. Below we have graphed y = (1 2)x, y = (1 3)x, and y = ( 1 10)x on the same set of axes.

**How to calculate the exponential function in Excel?**

+ 2.8 graphically. Round to the nearest thousandth. + 2.8 next to Y1 =. Then enter 42 next to Y2=. For a window, use the values –3 to 3 for x and –5 to 55 for y. Press [GRAPH]. The graphs should intersect somewhere near x = 2. For a better approximation, press [2ND] then [CALC].

## How are exponential functions used in real world?

As we discussed in the previous section, exponential functions are used for many real-world applications such as finance, forensics, computer science, and most of the life sciences. Working with an equation that describes a real-world situation gives us a method for making predictions. Most of the time, however, the equation itself is not enough.