The function f(x) = 2x^2 is a quadratic function that is in the shape of a parabola, with the vertex at the origin and opening upwards. It increases in value as x moves away from the origin.
On the other hand, the function f(x) = 2^x is an exponential function that increases exponentially as x increases. It starts from the point (0,1) and increases rapidly as x moves to the right.
When graphed, f(x) = 2x^2 will appear as a parabola, while f(x) = 2^x will appear as a curve that grows quickly. They intersect at the point (0,0), as this is the only point where the two functions have equal values. The exponential function f(x) = 2^x will always have a greater value as x increases, surpassing the quadratic function f(x) = 2x^2.
Compare f(x) = 2x^2 and f(x) =2^x and differences can be recognized between these two functions when graphed
F (x) =2^x is an blank function f(x)=2x^2 is a blank function f(x)=2^x take the shape of a blank and f(x)=2x^2 takes the shape of a blank they intersect at point blank
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