Answer:
B
Step-by-step explanation:
to figure out which graph is the graph of the given function. we need to figure out the y-intercept:
to do so
recall exponential function
[tex] y = \displaystyle \: a {b}^{x} [/tex]
substitute 0 for x:
[tex] \displaystyle \: y=6 \cdot \: {0.4}^{0} [/tex]
recall law of exponent:
[tex] y = \displaystyle \: 6 \cdot \: 1[/tex]
simplify multiplication:
[tex] y = \displaystyle \:6[/tex]
now two graphs have (0,6) as y-intercept
but remember if b<0 then the function is decreasing
hence,
our answer is B
