Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a key features of graphs quiz? Then this Algebra 1 quiz on Key Features of Graphs and Rates of Change asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on key features, average rate of change and comparing functions. Each explanation points out a typical misreading of a graph or a formula.
Standards: F-IF.B.4, F-IF.B.6, F-IF.C.9 · Level: Grade 9 Algebra 1
What this Key Features of Graphs and Rates of Change quiz checks
- A y-intercept has x = 0; an x-intercept (zero) has y = 0.
- A function is increasing where its graph rises as x increases.
- A relative maximum is higher than all nearby points.
- Average rate of change = (f(b) − f(a)) ÷ (b − a), measured in output units per input unit.
- Compare functions by matching the same feature across table, graph and equation.
The 10 questions of the quiz
- Where does the graphed line cross the y-axis?
- On average, how fast does f(x) = x2 + x change as x goes from 2 to 5?
- On which interval is the graphed function decreasing?
- As x grows large in either direction, what happens to the outputs of f(x) = −3x2 + 1?
- What is a relative minimum?
- What output does f(x) = 4x2 + 9x − 13 give at x = 0?
- A parabola is symmetric about x = 4, and (1, 6) is on it. Which other point is on it?
- If f(t) is distance in miles after t hours, what are the units of the average rate of change?
- What is the x-intercept of y = 4x − 20?
- The function f(x) = 5x + 1 and a function g whose table rises 3 for every 1 step in x. Which grows faster?
After the quiz
Missed a question? Reread the Key Features of Graphs and Rates of Change lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Key Features of Graphs and Rates of Change, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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