BHS Units 4-6 Review

Throughout which of the following intervals is  f(x) = (x - 1)(x - 4)² only decreasing?

• -∞ < x < 0
• -∞ < x < 1
• 1 < x < 4
• 2 < x < 4

Identify the x-intercepts of the function h(x) = x³ + 3x² - 4x - 12 .

• ( 3 , 0 ) ( 2 , 0 ) ( -2 , 0 )
• ( -3 , 0 ) ( 2 , 0 ) ( -2 , 0 )
• ( 3 , 0 ) ( -12 , 0 ) ( 12 , 0 )
• ( -4 , 0 ) ( 3 , 0 ) ( -3 , 0 )

Which of the following describes the end behavior of y = -x² +bx + c as x approaches either positive or negative infinity?

• y approaches positive infinity
• y approaches negative infinity
• y approaches c
• y approaches b

Which of the following is the factored form of x³ - 216 ?

• (x - 6)³
• (x - 6)(x² - 36)
• (x - 6)(x² + 12x + 36)
• (x - 6)(x² + 6x + 36)

What is the solution set to x² = 16 - 4x ?

• ± 4
• 2 ± 2√5
• -2 ± 2√5
• -2 ± 2i√3

The graph of g(x) is shown. Which appears to be a solution of g(x) = 0 ?

• -3
• -1
• 0
• 3

A solution to a quadratic equation is 13 - 11i√7 . Which of the following must also be a solution to this equation?

• -13 - 11i√7
• 13 + 11i√7
• -13 + 11i√7
• 13 - 11i√7

Simplify. 

• 5 + 4i
• no solution
• 5/17 + 20/17i
• 5/17 - 20/17i

What are the x-values for the solutions to the given system of equations?

• x = -3 , -7
• x = -3 , 4
• x = -4 , 3
• x = 4 , -14

The graph of a system of two equations is shown on the grid.  Identify only the apparent solutions of the system of equations. 

• ( 3 , 0 ) ( 1 , 0 ) ( -1 , 0 ) ( -5 , 0 )
• ( - 2 , -3 ) ( 2 , 5 )
• ( -3 , 0 ) ( -1 , 0 ) ( 1 , 0 ) ( 5 , 0 )
• ( - 3 , -2 ) ( 5 , 2 )