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Select the correct description of the function f.

1) f is a linear function.
2) f is a quadratic function.
3) f is an exponential function.
4) f is a trigonometric function.

User Sonle
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1 Answer

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Final answer:

The correct identification of the function f depends on its graph's features. Depending on whether the graph is a straight line, a parabola, shows exponential growth/decay, or periodic oscillations, the function can be classified as linear, quadratic, exponential, or trigonometric respectively.

Step-by-step explanation:

The correct description of the function f depends on the characteristics of its graph. For a linear function, the graph will be a straight line, which can be represented by an equation of the form y = mx + b where m is the slope and b is the y-intercept. In contrast, a quadratic function will have a parabolic graph, which is described by a second-order polynomial such as y = ax^2 + bx + c. An exponential function has a graph that shows a rapid increase or decrease and can be represented by y = a * b^x where a is a constant, b is the base of the exponent, and x is the exponent. Lastly, a trigonometric function involves periodic oscillations and can be represented by functions like y = sin(x), y = cos(x), or y = tan(x).

Without the specific graph or equation of the function in question, we cannot definitively categorize the function f. However, if given a graph or an equation, you can compare it with the characteristics mentioned above to decide which type of function f is. Remember, in practice, understanding the differences between functions can often be achieved by reviewing examples to recognize patterns and unique features related to each function type.

User Gfernandes
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