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question no.1

Step-by-step explanation:

A linear function is a function with a constant slope. On a graph, a linear function is represented by a straight line. In this function, x is raised to the power of 1. An example of a linear function is y=2x−1y=2x−1. In the example provided, the constant slope is 2 as for every one unit increase of x, y is raised by 2.

In a quadratic, the highest exponent of x is 2. Examples of a quadratic function include y=x2−5x+6y=x2−5x+6 and y=x2y=x2.

With a quadratic, the first difference is never the same. One example to prove this is y=x2y=x2. When x=0, y=0. When x=1, y=1. When x=2, y=4, when x=3, y=9. The differences in y here are 1, 3, 5. Notice how the difference in y increases at a constant rate. In every quadratic, the second difference is always the same.

An exponential function has x as an exponent itself. Examples of an exponential function include y=2xy=2x and y=3(4x)+5y=3(4x)+5. If the base (number that has x as an exponent) is greater than 1, the function will have an increasing positive slope.

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