Question

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36. Know the difference between exponential, quadratic and linear equations.

Answer 1

Exponential equation

Exponential equations have a rate of change and a exponent with respect to the rate of change

The general form is

• y=ab^x

where c is any real no .

Quadratic equation

• The exponential equations which have degree as 2 are called quadratic equations

The general form is

• y=Ax²+Bx+C

Linear equation

The equation whose graph is a straight line is called linear equation

The general form is

• y=mx+b

Answer 2

Linear Equation: y = mx + b

They tend to have same common differences. They increase linearly. They always have a straight line while making a graph. For every x-value there is only one y-value.

Quadratic Equation: y = ax² + bx + c

They have constant second differences. For every y value there are two x values. They always make a smile [ ∪ ] when the coefficient of x² is positive and sad [ ∩ ] curve on the graph when coefficient of x² is negative.

Exponential Equation: y = a(b)ˣ

Here the values of y changes more rapidly than the value of x. The values shifts too quickly in a exponential graph. For every y value there is only one x value. Has constant ratio.