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Algebra 2HardFunctions, Relations & Transformations

Functions, Relations & Transformations · Hard problem

Let f(x)={ax+3,x<2x2−a,x≥2.f(x) = \begin{cases} ax + 3, & x < 2 \\ x^2 - a, & x \ge 2. \end{cases} For what value of aa is the graph of ff one unbroken curve (no jump at x=2x = 2)?