Sketch the graphs of exponential functions, with and without technology.

Which statement best describes a feature of the graph of the exponential function \( f(x) = 2 \times 3^{-x} + 1 \), where \( x \in \mathbb{R} \)?

Consider the exponential function \( f(x) = 3^{x-1} - 2 \) defined for all real \( x \). (a) Find the \( y \)-intercept of the graph of \( f \). (1 mark) (b) State the equation of the horizontal asymptote. (1 mark) (c) Determine the coordinates of the point on the graph where \( x = 1 \), showing all working. (1 mark)