Question

It’s a system of equation graph and they need to be matched with its solution

Answer 1

Step-by-step explanation

Step 1

`\begin{gathered} f(x)=2^x-3 \\ j(x)=x+2 \end{gathered}`

a) to graph f(x) , we start from the function

`\begin{gathered} f(x)=2^x \\ then,\text{ we shift the graph 3 units down, so} \end{gathered}`

b) j (x) is a line, so we need 2 points

`\begin{gathered} j(0)=0+2=2 \\ P1(0,2) \\ and \\ j(1)=1+2=3 \\ P2(1,3) \end{gathered}`

then, draw a line that passes through P1 and P2

finally, the solution is the point where the graph intersect each other, so

so, we can conclude that

the answer is