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
What is the inverse of f(x) = 2x + 6?
Answer: f⁻¹(x) = (x − 6)/2
Swap x and y: x = 2y + 6, then solve for y: y = (x − 6)/2.
What is the value of f(g(x)) if f(x) = x + 3 and g(x) = 2x?
Answer: 2x + 3
f(g(x)) = f(2x) = 2x + 3.
Which graph passes through the origin and has a slope of 3?
Answer: y = 3x
A line through the origin with slope 3 has equation y = 3x (b = 0).
What does a negative slope indicate about a line?
Answer: The line falls from left to right
A negative slope means that as x increases, y decreases, so the line falls from left to right.
If h(t) = −16t² + 64t represents the height of an object, what is h(2)?
Answer: 64
h(2) = −16(4) + 64(2) = −64 + 128 = 64.
Which ordered pair is a solution to y = 3x − 5?
Answer: (3, 4)
For (3, 4): y = 3(3) − 5 = 9 − 5 = 4, which matches.