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1) What are the values of a and b for each equation? Why does this represent exponential growth? Equation a value b value y= y = – za 2) What will be the y-intercept for each graph? 3) Compare and contrast the value of y as x increases.

User Damien Marchand
by
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1 Answer

16 votes
16 votes

Step 1

write out the general formula of an exponential is


y=ab^x

1) Thus for the first equation


\begin{gathered} y=3^x \\ a=1 \\ b=3 \end{gathered}

For the second equation


\begin{gathered} y=-3^x \\ a=-1 \\ b=3 \end{gathered}

2) For the equation


\begin{gathered} y=3^x \\ \text{The y-intercept is 1} \end{gathered}

For the equation


\begin{gathered} y=-3^x \\ \text{the y-intercept is -1} \end{gathered}

3) For equation


\begin{gathered} y=3^x \\ \text{The values y remains constant for a range of x and increases exponentially with further increase in the value of x } \end{gathered}

For equation


y=-3^x

The values of y remain constant for a range of x values and decrease exponentially with further increase of x values

1) What are the values of a and b for each equation? Why does this represent exponential-example-1
1) What are the values of a and b for each equation? Why does this represent exponential-example-2
User Jeff Mergler
by
2.4k points
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