An exponential function is a function with the general form

y = abx

That satisfies the following conditions

·        x is a real number

·        a is a constant and a is not equal to zero (a ? 0)

·        b is bigger than zero (b > 0)

·        b is not equal to 1 (b ? 1)

 

·        A should not be 0

If a = 0, then y = 0 × bx = 0 since zero times anything is zero

Therefore, function equal to zero.

·        B should not be 0 or a negative number and cannot equal 1

b cannot zero since y = a × 0x = a × 0 = 0

b cannot be negative either. This can create some problems. For example, suppose b = -1, we get y = a (-1)x

When x = 0.5, y = a(-1)0.5 = a ?(-1) and ?(-1) is a complex number.

If b = 1, then y = a × 1x = a × 1 = a since 1 to any power is equal to 1 and a times 1 is a.

Notice that x disappears as an exponent when b = 1. Therefore, b cannot be equal to 1.

 

 

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