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2. The figure below shows the graphs of the exponential functions described by \( f(x)= \) \( c \c ...
2. The figure below shows the graphs of the exponential functions described by \( f(x)= \) \( c \cdot 3^{x} \) and \( g(x)=d \cdot 2^{x} \) for some numbers \( c \) and \( d \). They intersect at the point \( (p, q) \). (a) Which is greater, \( c \) or \( d \) ? (b) Imagine you place the tip of your pencil at \( (p, q) \) and trace the graph of \( g \) out to the point with \( x \)-coordinate \( p+2 \). Imagine I do the same of the graph of \( f \). What will be the ratio of the \( y \)-coordinate of my ending point to the \( y \)-coordinate of yours?