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Match each type of function with a characteristic of its graph. Enter the letter of the correct characteristic next to the type of function.

Function TypesCharacteristics

Linear Function A Its graph has a closed endpoint.

Quadratic function B Its graph is a parabola.

Inverse variation function C Its graph has a horizontal asymptote, but not a vertical asymptote.

Square root function D Its graph has a constant slope.

Exponential function E Its graph is a reflection of the graph of an exponential function in the line y = x.

Logarithmic function F Its graph has both a horizontal asymptote and a vertical asymptote.

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Answer:

Linear Function: Its graph has a constant slope (D).

Quadratic Function: Its graph is a parabola (B).

Inverse Variation Function: Its graph has both a horizontal asymptote and a vertical asymptote (F).

Square-root Function: Its graph has a closed endpoint (A).

Exponential Function:  Its graph has a horizontal asymptote, but not a vertical asymptote (C).

Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line y = x  (E).

The graph is the pictorial representation of variables that are in comparison and are interrelated to one another. It helps to connect all the coordinates that satisfy a given function.

The type of graphs and their characteristics are shown as follows:

Linear Function:  The graph of a linear function equation will have a constant slope that is a straight line is formed on the graph for the entire linear function (D).

Quadratic Function: Its graph is a parabola, that is the graph will show a plane curve that will be mirror-symmetric, or simply a U shaped curve will show the function (B)

Inverse Variation Function: Its graph has both a horizontal asymptote that will show the changes in the value of x and a vertical asymptote as the function will have no domain (F).

Square-root Function: Its graph has a closed endpoint (A).

Exponential Function:  Its graph has a horizontal asymptote, but not a vertical asymptote (C).

Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line y = x  (E).

To know more about the graph, refer to the link:

https://brainly.com/question/14375099

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