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 is a linear function?
Answer: f(x) = 2x + 5
f(x) = 2x + 5 is linear because the variable x has an exponent of 1.
What are the coordinates of the vertex of y = (x − 2)² + 3?
Answer: (2, 3)
In vertex form y = (x − h)² + k, the vertex is at (h, k), so here it is (2, 3).
If g(x) = 4x − 7 and g(x) = 9, what is x?
Answer: 4
4x − 7 = 9 gives 4x = 16, so x = 4.
What is the y-value when x = −1 on the graph of y = x³?
Answer: −1
y = (−1)³ = −1.
A function f(x) is even if:
Answer: f(−x) = f(x) for all x
An even function satisfies f(−x) = f(x), meaning it is symmetric about the y-axis.
On a graph, a horizontal line y = 4 intersects y = 2x − 2 at what x-value?
Answer: 3
Setting 2x − 2 = 4 gives 2x = 6, so x = 3.