Practice problem
Let f(x)=5x2+5x+2f(x) = 5x^2+5x+2f(x)=5x2+5x+2 and g(x)=8x2+8x+4g(x) = 8x^2+8x+4g(x)=8x2+8x+4. Suppose we found aaa such that ∣f(a)−g(a)∣|f(a) - g(a)|∣f(a)−g(a)∣ was as small as possible. What is ∣f(a)−g(a)∣|f(a) - g(a)|∣f(a)−g(a)∣?
54\frac{5}{4}45
111
34\frac{3}{4}43
12\frac{1}{2}21
14\frac{1}{4}41
000
−1-1−1
Type a concept, like “slope” or “photosynthesis”.