Practice Set for Quadratic Functions
1
1. Identify the following for the function f ( x )=− x 2 +10 x−32: i. Domain ii. Range iii. Roots/Zeroes iv. Factors v. Sign chart vi. IVT (or intervals where f ( x ) ≥ 0 and where f ( x ) <0) vii. Axis of symmetry viii. Vertex ix. Interval of max/min value x. Is the function even or odd? xi. Transformation given the function P ( x) =x 2 [Hint: “complete the square” first] xii. What is the end behavior of the function? xiii. Domain restrictions xiv. Inverse of the function to the right of the vertex xv. Domain of the inverse xvi. Range of the inverse xvii. Prove f ( f −1 ( x ) )=f −1 ( f ( x ) ) =x numerically for this function.
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Goes from properties of quadratic functions to properties of their inverses.
Transcript of Practice Set for Quadratic Functions
1. Identify the following for the functionf ( x )=−x2+10 x−32 :
i. Domainii. Range
iii. Roots/Zeroesiv. Factorsv. Sign chart
vi. IVT (or intervals where f ( x )≥0 and wheref ( x )<0)vii. Axis of symmetry
viii. Vertexix. Interval of max/min valuex. Is the function even or odd?
xi. Transformation given the function P ( x )=x2 [Hint: “complete the square” first]xii. What is the end behavior of the function?
xiii. Domain restrictionsxiv. Inverse of the function to the right of the vertexxv. Domain of the inverse
xvi. Range of the inversexvii. Prove f ( f −1 ( x ) )=f−1 (f ( x ) )=x numerically for this function.
