State whether each equation in Exercises 25–30 represents a linear,

quadratic, or exponential function. Tell how you decided.

3x^2=5

*I believe this equation is a exponential function but, I'm not sure how to explain it.*

1 answer

The determinant factor is the exponent.

If the variable is in the exponent, then it is exponential. For example,
4x+1=10

If the maximum value of the exponent is two, then the expression/equation is quadratic. For example:
x²+3x+1=0

If the maximum of the exponent is 1, or if exponents are absent (i.e. =1), it is linear. For example,
4x+5y=3