It seems you uploaded a graph matching question with exponential functions. Let's break it down:

Functions to match with graphs:

1. $u(x) = 3.5(2)^x$
2. $r(x) = -3.5(2)^x$
3. $p(x) = 3.5(0.2)^x$
4. $n(x) = -3.5(0.2)^x$

Analyzing each function:

• $u(x) = 3.5(2)^x$: This is an exponential growth function with a positive base (2). The graph should show a rapidly increasing curve as $x$ increases, starting from a positive value.

• $r(x) = -3.5(2)^x$: This function is also an exponential growth with base 2 but multiplied by -3.5. It should show a rapid decrease as $x$ increases, starting from a negative value.

• $p(x) = 3.5(0.2)^x$: This is an exponential decay function with base 0.2. The graph should show a rapidly decreasing curve as $x$ increases, starting from a positive value.

• $n(x) = -3.5(0.2)^x$: This is also exponential decay but with a negative factor, so the graph should show a rapidly increasing curve but starting from a negative value.

Matching graphs with functions:

1. Top left graph: Exponential growth with a positive initial value, so this is likely $u(x)$.
2. Top right graph: Exponential decay with a negative starting point, so this is likely $n(x)$.
3. Bottom left graph: Exponential decay with a positive starting point, so this is likely $p(x)$.
4. Bottom right graph: Exponential growth with a negative initial value, so this is likely $r(x)$.

Would you like to discuss any of these points in further detail, or do you have more questions on the topic?

Further questions you could explore:

1. How do different bases (greater than 1 versus less than 1) affect the behavior of an exponential function?
2. What role does the negative sign in the function play in the graph's orientation?
3. Can you identify transformations (such as shifts) in exponential functions from their graphs?
4. How does the value of the constant (3.5 in these cases) impact the vertical stretch or compression?
5. Could you solve for the value of $x$ at which the exponential function crosses the x-axis for any of these functions?

Tip: Exponential growth functions always increase quickly, while decay functions decrease quickly, but the direction can reverse with a negative coefficient!