Question

The equation for an exponential function is w(x) = 2 · (1.4)x – 5. Graph the function.

Answer 1

The correct graph for the equation for an exponential function is seen in option A.

The graph of an exponential equation.

Exponential equations are equations that contains variables as part of their exponents. In the given question, we have the equation of an exponential function
`w(x)=2* (1.4)^x-5`, Here, 1.4 is the base and the exponent is x.

The graph of an exponential equation is achieved by plotting the horizontal asymptote and the intercepts. The horizontal asymptote can either increase or decrease depending on whether the exponential function is an even function or an odd function.

In the function
`w(x)=2* (1.4)^x-5`, the horizontal asymptote is y = -5. Using the online calculator (GeoGebra), we can see that the graph is increasing in the upward direction and the correct graph for the function is A.

Answer 2

The graph of the function
`y = 2 * (1.4)^(x) - 5` is the graph (a) based on the transformations

Sketching the graph of the function

From the question, we have the following parameters that can be used in our computation:

`y = 2 * (1.4)^(x) - 5`

The above function is an exponential function that has been transformed as follows

• Vertically stretched by a factor of 2
• Shifted down by 5 units

Next, we determine the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is the graph (a) based on the transformations above