graphing question

Question

4. Graph the following functions.
(a) f(x)=5^x
(b) f(x)=(2/3)^x
(c) f(x)=-3^(-x)

Answer 1

Make a table of values, graph them as (x,y) points, then draw smooth curve between and through the points.

 

f(x) = 5^x

 

x           0  1  2      -1   -2

y=f(x)   1  5  25    1/5  1/25

 

f(x)=(2/3)^x

 

x           0  1     2       -1    -2

y=f(x)   1  2/3 4/9     3/2  9/4

 

f(x)=-3^(-x)=-(3^(-x))

 

x          0     1      2       -1  -2
y=f(x)  -1  -1/3  -1/9    -3   -9