Functions and Graphing Flashcards
6 cards from real IMSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Functions and Graphing flashcards as text
Which of the following represents a function?
Answer: Each input has exactly one output
A function requires that every input (x-value) maps to exactly one output (y-value).
What is the domain of f(x) = 1/(x − 3)?
Answer: All real numbers except x = 3
The function is undefined when the denominator equals zero, i.e., when x = 3.
If f(x) = x² − 4, what is f(−2)?
Answer: 0
f(−2) = (−2)² − 4 = 4 − 4 = 0.
What is the range of f(x) = |x|?
Answer: y ≥ 0
The absolute value function always produces non-negative results, so the range is y ≥ 0.
What does the graph of y = x² look like?
Answer: A parabola opening upward
y = x² is a quadratic equation whose graph is a U-shaped parabola opening upward.
For the function y = 3x − 1, what is the output when the input is 4?
Answer: 11
y = 3(4) − 1 = 12 − 1 = 11.