From one picture you read the rises and falls, the symmetry, and the peaks and valleys, telling the monotonicity, evenness or oddness, and extreme values all at once.
Module goal. Learn to capture a function's rise and fall, symmetry, and high and low points from both the graph and the symbols, getting ready to analyze linear functions
eastmath.com · 20.6 Reading a Function's Behavior off Its Graph · 20.6.5 Putting It Together: Reading a Whole Graph