Functions and Graphs Flashcards
6 cards from real Algebra Test 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 Graphs flashcards as text
What is the x-intercept of f(x) = 2x - 8?
Answer: x = 4
Set f(x) = 0: 2x - 8 = 0 gives x = 4.
Which describes an increasing function on an interval?
Answer: As x increases, y increases
An increasing function produces larger outputs as input values increase.
What is the domain of f(x) = 1/(x - 5)?
Answer: x ≠ 5
The denominator cannot be zero: x - 5 ≠ 0, so x ≠ 5.
What transformation does y = f(x - 2) represent?
Answer: Shift 2 units right
Replacing x with (x - 2) shifts the graph 2 units to the right.
If f(x) = 5 for all x, the function is called a:
Answer: Constant function
A function that outputs the same value for every input is a constant function.
For f(x) = |x|, what is the minimum value?
Answer: 0
Since |x| ≥ 0 for all real x, the minimum value is 0, achieved at x = 0.