What are the 6 parent functions? Describe their graphs.
There are nine commonly accepted, so choose what six you covered.
epcc.edu/.../Parent%20graph%20of%20functions%20transf.pdf
There are nine commonly accepted, so choose what six you covered.
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The 6 parent functions are:
1. Linear function (f(x) = x): A linear function represents a straight line with a constant slope. Its graph has a constant rate of change, either increasing or decreasing as x increases or decreases.
2. Quadratic function (f(x) = x^2): A quadratic function represents a parabola. Its graph is symmetric with respect to the y-axis, and its vertex determines the direction of the parabola (upward or downward).
3. Cubic function (f(x) = x^3): A cubic function represents a curve that has either one hump or two humps. Its graph can have either a positive or negative leading coefficient, determining the direction of the curve.
4. Absolute value function (f(x) = |x|): An absolute value function represents a V-shaped graph. It has a corner point at the vertex, which is the minimum value of the function.
5. Square root function (f(x) = √x): A square root function represents the principal square root of x. Its graph starts at the origin (0,0) and extends in the positive x-axis direction.
6. Exponential function (f(x) = a^x): An exponential function represents exponential growth or decay. Its graph either increases or decreases exponentially based on the value of the base, "a".
To determine the characteristics of these parent functions, it is helpful to manually plot a few points on the graph, or you can use graphing software or online graphing tools to visualize the functions.