Final answer:
An exponential function has a curved line that either increases or decreases exponentially. A quadratic function has a parabolic shape. Trigonometric functions have periodic graphs that oscillate between maximum and minimum values. Linear functions have graphs that are straight lines.
Step-by-step explanation:
A.) Exponential function:
An exponential function has the general form y = ab^x, where a and b are constants. The graph of an exponential function starts at a specific point and then either grows or decays rapidly. The rate of growth or decay is determined by the value of b. The graph of an exponential function is typically a curved line that either increases or decreases exponentially.
B.) Quadratic function:
A quadratic function has the general form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a quadratic function is a parabola. It can open upwards or downwards, depending on the value of a. The vertex of the parabola is the minimum or maximum point of the function.
C.) Trigonometric function:
Trigonometric functions include sine, cosine, tangent, cosecant, secant, and cotangent. These functions relate the angles of a right triangle to the side lengths of the triangle. The graphs of trigonometric functions repeat in a periodic manner. They oscillate between a maximum value and a minimum value.
D.) Linear function:
A linear function has the general form y = mx + b, where m and b are constants. The graph of a linear function is a straight line. It has a constant rate of change and does not curve or bend.