Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Let f ( x ) = { x 3 − x 2 + 10 x − 7 , x ≤ 1 − 2 x + log 2 ( b 2 − 4 ) , x > 1 f(x) = \begin{cases} x^3 - x^2 + 10x - 7, & x \le 1 \\ -2x + \log_2(b^2 - 4), & x > 1 \end{cases} f ( x ) = { x 3 − x 2 + 10 x − 7 , − 2 x + log 2 ( b 2 − 4 ) , x ≤ 1 x > 1
Mathematics
Problem Let f ( x ) = { x 3 − x 2 + 10 x − 7 , x ≤ 1 − 2 x + log 2 ( b 2 − 4 ) , x > 1 f(x) = \begin{cases} x^3 - x^2 + 10x - 7, & x \le 1 \\ -2x + \log_2(b^2 - 4), & x > 1 \end{cases} f ( x ) = { x 3 − x 2 + 10 x − 7 , − 2 x + log 2 ( b 2 − 4 ) , x ≤ 1 x > 1 b b b f ( x ) f(x) f ( x ) x = 1 x = 1 x = 1 ( − 6 , − 2 ) (-6, -2) ( − 6 , − 2 ) ( 2 , 6 ) (2, 6) ( 2 , 6 ) [ − 6 , − 2 ) ∪ ( 2 , 6 ] [-6, -2) \cup (2, 6] [ − 6 , − 2 ) ∪ ( 2 , 6 ] [ − 6 , − 2 ) ∪ ( 2 , 6 ] [-\sqrt{6}, -2) \cup (2, \sqrt{6}] [ − 6 , − 2 ) ∪ ( 2 , 6 ] Browse the problem library