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Which of these could be the graph of F(x)= 6 • (0.4)^x​

Which Of These Could Be The Graph Of Fx 6 04x class=

Sagot :

Nayefx

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