An incomplete table of values for an exponential function is shown. The exponential function is of the form y=a\cdot b^x where a is a real number such that a\ne0 and b is a positive real number not equal to 1.

Enter the values of a and b in the boxes given below, then complete the table with possible values for the exponential function.

X- 0-1-2-3
Y-96------

Answers

Answer 1

Answer:

−3−99

because if

+0−1−2−3−96

x+0−1−2−3−96

−99−3

Answer 2

The required exponential function will be [tex]f(x) =9(\frac{2}{3} )^x[/tex] with a and b values 9 and 2/3 respectively.

The given exponential function is:

[tex]f(x) = ab^x[/tex]

What is a function?

A function is a rule that relates two variables.

Point (0,9) lies on the graph of the given function.

So, [tex]9=ab^0[/tex]

[tex]a=9[/tex]

So, f(x) becomes [tex]f(x)=9b^x[/tex]

Point (1,6) also lies on the graph of the given function.

So, [tex]6=9b[/tex]

[tex]b=\frac{2}{3}[/tex]

So, the required function will be [tex]f(x) =9(\frac{2}{3} )^x[/tex]

Therefore, The required exponential function will be [tex]f(x) =9(\frac{2}{3} )^x[/tex] with a and b values 9 and 2/3 respectively.

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We can set up an equation here to represent the exponential growth in Terry's bank account.

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Answers

Answer:

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Answers

Answer:

[tex]what \: is \: \frac{12}{15} \: in \: simplest \: form \\ \frac{12}{15} = \frac{4}{5} [/tex]

Answer:

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