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Answer:
A function is linear if it has a constant, additive rate of change for consecutive inputs. A function is exponential if it has a constant, multiplicative rate of change for consecutive inputs. A quadratic function does not have a constant rate of change, but it is symmetric on each side of the vertex.
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A quadratic equation is an algebraic expression of the second degree in x. The standard form of a quadratic equation is [tex]ax^2+bx+c=0[/tex],
Where a, b are the coefficients, x is the variable, and c is the constant term.
The first condition for an equation to be a quadratic equation is the coefficient of [tex]x^2[/tex] is a non-zero term (a ≠0).
An exponential function is a function whose value is a constant which is raised to the power of an argument, especially with the constant “e”. The exponent function is often used in many real-life applications.
Linear equations are the equations in which the variables are raised to the power equal to one.
The linear equations are classified into different types based on the number of variables in the equation.
Here, A table of values, in which function represent linear, quadratic, or exponential given below.
Function Type of Function Reason
[tex]x^2+2x+5 = 0[/tex] Quadratic function It has highest power 2 of x.
[tex]2x+5[/tex] Linear function It has highest power 1.
[tex]e^x[/tex] Exponential function It has representation with 'e'.
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