(Q8) The graph of an exponential function is given. Which of the following is the correct equation of the function? (Picture Provided)

Answer:b. [tex]y=3.9^x[/tex]Step-by-step explanation:Remember that the standard exponential function is [tex]y=ab^x[/tex]where [tex]a[/tex] is the coefficient [tex]b[/tex] is the base If [tex]b>0[/tex], the function is growing If [tex]0<b<1[/tex] the graph is decaying We can infer from the graph that the function is growing, so we can discard [tex]y=0.45^x[/tex] and [tex]y=0.73^x[/tex]. Now, to evaluate our tow remaining equations, we are using the test values [tex]x=0[/tex] and [tex]x=1[/tex]:For [tex]y=1.8^x[/tex]For [tex]x=0[/tex][tex]y=1.8^0[/tex][tex]y=0[/tex]For [tex]x=1[/tex][tex]y=1.8^1[/tex][tex]y=1.8[/tex]The graph passes through the points (0,1) and (1, 1.8)For [tex]y=3.9^x[/tex][tex]x=0[/tex][tex]y=3.9^0[/tex][tex]y=0[/tex][tex]x=1[/tex][tex]y=3.9^1[/tex][tex]y=3.9[/tex]The graph passes through the points (0,1) and (1, 3.9)We can see in the graph when [tex]x=1[/tex], [tex]y[/tex] is almost 4, so we can conclude that the correct equation is [tex]y=3.9^x[/tex]