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Which graph models the function f(x) = −4(2)x?

A) exponential function going through point 0, 4 and ending up on the right

B) exponential function going through point 0, negative four and ending up on the right

C) exponential function going through point 0, negative four and ending down on the right

D) exponential function going through point 0, 4 and ending down on the right

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Answer:

C) exponential function going through point 0, negative four and ending down on the right

Step-by-step explanation:

The given function is

[tex]f(x)=-4(2^x)[/tex]

When [tex]x=0[/tex],

[tex]f(0)=-4(2^0)[/tex]

[tex]f(0)=-4(1)[/tex]

[tex]f(0)=-4[/tex]

The graph passes through [tex](0,-4)[/tex].

The negative factor will cause the graph to be reflected in the x-axis.

Therefore the graph will end down on the right.

The correct choice is C

Answer: C) exponential function going through point 0, negative four and ending down on the right

Step-by-step explanation:

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