Popular Questions InAP Precalculus Unit 1: Functions and Graphs
1
What is the domain of the function f(x) = sqrt(x^2 - 9) / (x - 4)?
2
Given f(x) = x^2 - 6x + 10 for x >= 3, find the inverse function f^-1(x).
3
Let f(x) = sqrt(x + 3) and g(x) = 1 / (x - 2). Determine the domain of the composite function (f o g)(x).
4
If the graph of f(x) is transformed into g(x) = -3f(x - 2) + 5, which sequence of transformations is correct?
5
Which of the following types of functions will always have an average rate of change of 0 over any symmetric interval [-a, a] where a ≠ 0?
6
Consider the piecewise function f(x) = { x^2 - 2x, if x 2 }. For what value of 'a' is f(x) continuous at x = 2?
7
A function g(x) is increasing on (-infinity, -1) and decreasing on (-1, infinity). It has a local maximum at x = -1. Which of the following functions could represent g(x)?
8
If f(x) = x^2 - 5x and g(x) = 2x + 8, find all values of x for which f(x) = g(x).
9
Which of the following functions is an odd function?
10
Find the inverse of the rational function f(x) = (3x - 2) / (x + 1).
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