Final answer:
To calculate g(-1) for the function g(x) = 3ˣ + 4, we substitute x = -1 and evaluate the expression to get 4.333... The corresponding point on the function's graph is (-1, 4.333...).
Step-by-step explanation:
The student's question involves evaluating an exponential function. Specifically, the function given is g(x) = 3ˣ + 4. To find g(-1), we substitute x with -1 in the function:
g(-1) = 3(-1) + 4
g(-1) = 1/3(1) + 4
g(-1) = 1/3 + 4
g(-1) = 4 + 1/3
g(-1) = 4.333...
To represent this value as a point on the graph of g, we take the input value (x-coordinate) and the result we calculated (y-coordinate) to form the point (-1, 4.333...).