Questions: The function below has the form f(x)=b^x+k. Which of the following functions is shown on the graph?

Solution Steps

The function is given in the form \( f(x) = b^x + k \).

From the graph, identify key points that the function passes through. For example, the graph passes through (0, 1) and (1, 3).

Using the point (0, 1): \[ f(0) = b^0 + k = 1 \] \[ 1 + k = 1 \] \[ k = 0 \]

Using the point (1, 3): \[ f(1) = b^1 + k = 3 \] \[ b + 0 = 3 \] \[ b = 3 \]

Final Answer