On Wednesday Nov 10, we learnt about exponential functions.
The function f(x)= ab, exponent x, where a and b are real numbers such that "a" is not equal to zero, "b" is greater than zero and "b"is not equal to one,is an exponential function where :
"a" is a constant
"b" is a base
"x" is an exponent.
Basic curve : f(x)= a exponent x where a>o.
y= a exponent -x will reflect the basic curve in the y-axis.
y= -a exponent x will reflect the basic curve in the x-axis.
y= a (exponent x-h) + k will shift the basic curve.
An exponentail function is said to be an increasing function when a is greater then 1.
An exponential function is said to be an decreasing function when a is greater then 0 and less then 1.
Sketch the following exponential functions on the same cartesian plane.a. f(x)= 5 exponent x b. g(x)= (1/5) exponent x c. h(x)= -5 exponent x
Example No: 2
Sketch the following exponential functions on the same Cartesian Plane.
a.f(x)= 4 exponent x b.p(x) = 4 exponent x+3 c. k(x)= 4 (exponent x) -2
d. q(x) 4 (exponent x-2) + 1
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