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it slopes downward. it has a negative slope. it it really high when it is close to zero but gets really low as the x-value goes greater.

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14y ago

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Categorize the graph as linear increasing linear decreasing exponential growth or exponential decay.?

Exponential Decay. hope this will help :)


What are some characteristics of the graph of an exponential function?

An exponential function is a nonlinear function in the form y=ab^x, where a isn't equal to zero. In a table, consecutive output values have a common ratio. a is the y-intercept of the exponential function and b is the rate of growth/decay.


Would the graph of an exponential decay function would have a curve upward along the x-axis towards negative infinity?

No, it would not.


What is the relationship between a logarithmic function and its corresponding graph in terms of the log n graph?

The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.


What shape does an exponential graph give?

An exponential graph typically exhibits a J-shaped curve. For exponential growth, the graph rises steeply as the value of the variable increases, while for exponential decay, it falls sharply and approaches zero but never quite reaches it. The key characteristic is that the rate of change accelerates or decelerates rapidly, depending on whether it is growth or decay.


What is the trend of exponential graph?

The trend of an exponential graph depends on the base of the exponential function. If the base is greater than one (e.g., (y = a \cdot b^x) with (b > 1)), the graph shows exponential growth, rising steeply as (x) increases. Conversely, if the base is between zero and one (e.g., (y = a \cdot b^x) with (0 < b < 1)), the graph depicts exponential decay, decreasing rapidly as (x) increases. In both cases, the graph approaches the x-axis asymptotically but never touches it.


How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?

The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.


On a graph what shape doesn't exponential function make?

An exponential function does not create a linear shape on a graph. Instead, it produces a curve that either rises or falls rapidly, depending on whether the base of the exponent is greater than or less than one. The graph is characterized by its continuous and smooth nature, exhibiting either exponential growth or decay. Additionally, it does not form any circular or parabolic shapes, which are seen in other types of functions.


Write an exponential function and graph the function?

f(x)=2X-2


What happens to a graph that is representative of exponential decay?

As time passes - as the graph goes more and more to the right, usually - the graph will get closer and closer to the horizontal axis.


What does an exponential graph and logistic graph of growth look like?

Yuo cannot include a graphical illustration here. Take a look at the Wikipedia, under "exponential function" and "logistic function". Basically, the exponential function increases faster and faster over time. The logistics function initially increases similarly to an exponential function, but then eventually flattens out, tending toward a horizontal asymptote.


The horizontal asymptote for exponential function is?

The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.