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The graph of y = -3x + 2 intersects the graph of an exponential function at (-1, 5). Which of the following could be the exponential function?
a) y = 10(2)[tex]
^{x} [/tex]
b) y = 10(0.5)[tex] ^{x} [/tex]
c) y = 5[tex] ^{x} [/tex]
d) y = 5(2)[tex] ^{x} [/tex]

Respuesta :

sqdancefan
Of the function choices offered, only the first includes (-1, 5) in its graph.
  a) y = 10(2)^x
david8644

Answer:

[tex]a) y = 10(2)^x[/tex]

Step-by-step explanation:

In order to solve this you just need to evaluate the options given with the values of the point that is given in order to see if that point is a possibility in that function, remember to use the value of x to avaluate and if the result is the same as the points value for y then that poin is part of the graph.

[tex]a) y = 10(2)^x[/tex]

[tex]y=10(2)^x\\y=10(2)^-1\\y=10*\frac{1}{2} \\y=5[/tex]

Remember that when elevating to negative numbers the ecponent becomes a numerator, so the only option that is correct would be the first one [tex]a) y = 10(2)^x[/tex]

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