Compare and graph each function with graph of y =3^of x
a r(x)= 1/2 3^of x
b h(x)=( 3^of x )+ 2
c g (x) 3^of x+2
compare and graph each function with graph o f y=3 square root of x
s(t) = 16t^3 64t+6
t=.029
To compare and graph each function with the graph of y = 3^x, we need to understand the transformations applied to each function.
a) r(x) = (1/2)3^x:
This function applies the transformation of multiplying the original function by (1/2). This means that all the y-values of the original function will be halved. To graph this function, you can plot points by evaluating (1/2)3^x for different values of x.
b) h(x) = 3^x + 2:
This function applies the transformation of shifting the original function vertically by 2 units. This means that the graph will be shifted upward by 2 units. To graph this function, plot points by evaluating 3^x + 2 for different values of x.
c) g(x) = 3^x + 2:
This function is the same as function b) above. It also applies the transformation of shifting the original function vertically by 2 units. To graph this function, plot points by evaluating 3^x + 2 for different values of x.
To compare the graphs visually, you can plot all three functions on the same set of axes. This will give you a clearer understanding of how each function relates to the graph of y = 3^x.