write the function shown in the graph to the right. write the function that describes the graph above. y =…

Explanation:

Step1: Observe graph features

The graph appears to be an exponential - like function passing through points that can help determine its form. Assume the general form of an exponential function is $y = a\cdot b^{x}+c$.

Step2: Identify key points

Let's assume the graph passes through $(0, 1)$ and $(1, 3)$. Substitute $(0,1)$ into $y=a\cdot b^{x}+c$: [1=a\cdot b^{0}+c=a + c] Substitute $(1,3)$ into $y=a\cdot b^{x}+c$: [3=a\cdot b^{1}+c=ab + c] Subtract the first equation from the second: [ab + c-(a + c)=3 - 1] [ab - a=2] [a(b - 1)=2] If we assume $a = 2$ and $b = 2$ and $c=-1$ (since $a + c=1$), the function is $y = 2\cdot2^{x}-1=2^{x + 1}-1$.

Answer:

$y=2^{x + 1}-1$