Which graph represents an exponential function?

Mathematics

2 answers:

Anettt [7]3 years ago

8 0

The graph pictured is an exponential function.

Maslowich3 years ago

4 0

Answer:

The graph attached represents an exponential function.

Step-by-step explanation:

An exponential function is represented by a hyperbola which shows some proportionality on the numbers.

The common thing about exponential functions is that they reach infinity.

One example of an exponential function is the graph of $e^{x}$

The graph is a hyperbolic curve that continues without a definite value.

Another example of such a graph is the graph of :

$y = \frac{1}{x}$

As the value of y increases, the graph reaches closer and closer to the x- axis but takes forever to reach such a value of intersection.

We say such graphs reach infinity with the y-value.

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A cone and a triangular pyramid have a height of 9.3 m

Otrada [13]

Answer:

$x=17.1\ in$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

$\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]$