Respuesta :

In general, exponential graphs are functions of the form:

[tex] y = A (b) ^ x
[/tex]

Therefore, for very large negative x values, the graph tends to zero.

For positive and very large x values, the graph tends to infinity.

A graph that shows this behavior is:

Graph 2 (from left to right)

Answer:

A graph that shows exponential growth is:

Graph 2 (from left to right)

The second graph is a graph of exponential function

Further explanation

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

  • Linear Function → f(x) = ax + b
  • Quadratic Function → f(x) = ax² + bx + c
  • Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x
  • Logarithmic function → f(x) = ln x
  • Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

The first graph is a graph of quadratic function which has the general form:

[tex]\boxed {f(x) = ax^2 + bx + c}[/tex]

The second graph is a graph of exponential function which has the general form:

[tex]\boxed {f(x) = a (b)^x}[/tex]

The third graph is a graph of linear function which has the general form:

[tex]\boxed {f(x) = mx + c}[/tex]

The fourth graph is a graph of logarithmic function which has the general form:

[tex]\boxed {f(x) = ln (a ~x^n)}[/tex]

Learn more

  • Inverse of Function : https://brainly.com/question/9289171
  • Rate of Change : https://brainly.com/question/11919986
  • Graph of Function : https://brainly.com/question/7829758

Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

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