0. Functions

Roots and powers Sketch a graph of the given pairs of functions. Be sure to draw the graphs accurately relative to each other.

y = (x)¹⸍³ and y = (x)¹⸍⁵

Graphing equations Graph the following equations. 

c. x² + 2x + y² + 4y + 1 = 0

{Use of Tech} Triple intersection Graph the functions f(x) = x³,g(x)=3^x, and h(x)=x^x and find their common intersection point (exactly).

Parabola properties Consider the general quadratic function ƒ(x) = ax² + bx + c , with a ≠ 0.

a. Find the coordinates of the vertex of the graph of the parabola y= ƒ(x)  in terms of a, b, and c.

Using the piecewise function below, evaluate $$$f\left(-1\right)$

Using the piecewise function below, evaluate $f\left(5\right)$

Which of the following correctly describes the piecewise function graphed below, where the graph consists of a line with slope $2$ for $x<1$ and a constant value $3$ for $x\ge 1$?