Question: question 1 Use the remainder theorem to find P (-2) for P (x) = -2x* - 2x +4x+4. Specifically, give the quotient and the remainder

question 1

Use the remainder theorem to find P (-2) for P (x) = -2x* - 2x +4x+4. Specifically, give the quotient and the remainder for the associated division and the value of P (-2). 0 Quotient = X 5 ? Remainder = ] P (-2) = 0The function below has at least one rational zero. Use this fact to nd all zeros of the function. g(x) =2x3+23x2+53x35 If there is more than one zero, separate them with commas. Write exact values, not decimal approximations. Solve the following inequality. (x - 8) (x - 2) (x+4) >0 Write your answer as an interval or union of intervals. If there is no real solution, click on "No solution". (0,0) [0,0] (0,0] [0,0) OVO OO -OO No solution X 5Solve the following inequality. O Write your answer using interval notation. (0,0) [0,0] (0,0] [0,0) ) OVO -00 X 5Suppose that the functions u and w are defined as follows. u (x) = -4x+2 w (x) =-5x+4 Find the following. (u . w) (3) = 10 0/0 (w ou) (3) = 1 X 5The one-to-one functions g and h are defined as follows. g = (0, 1), (5, 8), (6, 9), (7, -1), (9, 0)) h (x) = x - 13 5 Find the following. 8 (0) = 0 h (x ) = 0 X 5 ? ( non ) (-7 ) = 01 x: 3raph the exponential function g(x = (Z) 3. To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on the graphafunction button. Additionally, give the domain and range of the function using interval notation. (ELIE) [ELIE] (ELEU Domain: :| [Uni (D nun Range: :| Rewrite each equation as requested. (a) Rewrite as an exponential equation. logg 8 = 1 (b) Rewrite as a logarithmic equation. .4 81 00 (a) X 5 ? (b) 10870 = 0Graph the logarithmic function gfx) = log4x+ 3. To do this, plot two points on the graph of the function, and also draw the asymptote. Then, click on the graphafunction button. Additionally, give the domain and range of the function using interval notation. Domain:|1| (DD) [DD] (El,l:l] [I:I.I:I) Q nun Range: D Fill in the missing values to make the equations true. O (a) log, 8 + log. 5 = log- X 5 ? 5 (b) log, 5 - log, = 1082 11 (c) 1089 16 = -410gg

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