Given that f ( x ) = 2x^2 + 4 x − 3 and g ( x ) = 2^x − 3 , identify the function families for f ( x ) and g ( x ) . Explain your reasoning.

Answer 1

For the first one, the x² tell you that this is a quadratic function.

For the second one, the variable in the exponent 2^x tells you this is an exponential function.