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Which point is on the graph of f(x) = 2*5^×? O A. (1,10) O B. (10, 1) O C. (0,10) O D. (0,0)

Sagot :

Question:

Which point is on the graph of

[tex]f(x)=2\times5^x[/tex]

A) (1,10)

B) (10,1)

C) (0,10)

D) (0,0)

Answer:

Remember that for any given point to be on the graph of a function, it has to satisfy the equation of such function.

Remember we can change

[tex]f(x)=2\times5^x[/tex]

For

[tex]y=2\times5^x[/tex]

Let's check if point A satisfies this expression:

[tex]\begin{gathered} y=2\times5^x\rightarrow10=2\times5^1\rightarrow10=2\times5 \\ \rightarrow10=10 \end{gathered}[/tex]

Because point A satisfies the equation, we can assure it is also on the graph of the function.

(You can check that any other option is incorrect because none of those points satisfy the equation of the function)