Chapter 1, Problem 1RE

(b) g(x) = log3(x+2) Sketch the graph. y 10 X -10 -5 5 10 -10 -5 10 y -5 5 -10 X 2 4 6 8 10 10 y -5 -10 -10- State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. Need Help? Read It 5 y 10 -5 5 -10L X 5 10 x -8 -6 -4 A Sarah Nasri Sarah Nasri Hilly Hilly Amy Goyal Amy Goyal Alisha Williams Alisha Williams Chris Sabino (he/him)

3. [-/2.5 Points] DETAILS MY NOTES SCOLALG7 4.T.001. 0/100 Submissions Used Sketch the graph of each function, and state its domain, range, and asymptote. Show the x- and y-intercepts on the graph. f(x) 2-x+4 (a) Sketch the graph. ASK YOUR TEACHER y 10 y 10г 5 X -10 -5 5 10 2 4 6 8 10 10 y 5 -5 10' -10 -10 -8 -6 -4 2 -10 -5 State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. 10 y 5 -5 -10 5 10 X Sarah Nasri Sarah Nasri elijah jones elijah jones Amy Goyal Amy Goyal I'm away Alisha Williams Alisha Williams Chris Sabino (he/him)

A graph of a function is given. Use the graph to find the indicated values. y 4 0 (a) g¯¹(0) (b) g-1 (1) (c) g¯¹(6) Need Help? Read It 16.0 g 4 ☑ Sarah Nasri elijah jones Amy Goyal Alisha Williams

1. [0/2.5 Points] used for your score. DETAILS MY NOTES SCOLALG7 2.6.061. 1/100 Submissions Used PREVIOUS ANSWERS ASK YOUR TEACHER A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. f(x) = x²; stretch vertically by a factor of 4, shift downward 2 units, and shift 3 units to the right y Need Help? Read It Watch It Show My Work (Optional)? Submit Answer Run script "open_bc_enhanced ('watch_it', %20'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scolalg5_03_05_043&prod=scolalg5',%201)"

Exercise 14.4. Let R be a ring, and Z(R) = {a Є R | ab = ba, \b € R} For every nЄN, show that Z(Mn(R)) = - {( - ) \ - - x m} a Z(R)

: G → Exercise 14.5. Let G be a group and R be a ring. Show that every group homomorphism R* can be uniquely extended to a ring homomorphism & : Z[G] → R satisfying that (g) = (g) for every g € G.

Exercise 14.6. Let R = C.1+C · i + C · j +C · k, where the addition and the multiplication laws of R are extended from the Hamilton quaternion algebra, i.e. 1, i, j, k satisfy 1 · a = a = a· 1, Va € R, i² = j² = k² = −1, ij = k = − ji. Show that R is isomorphic to M2(C). (Hint: consider the extension of the ring homomorphism from H into M2(C).)

Exercise 14.3. Let p be a prime number, and let ø : Z[x] → Zp[x] be the ring homomorphism defined by n n (Σ a¿x²) := Σ ārx², Vao,. i=0 i=0 ..., an EZ. Here ā¿ € Zp satisfies p | ai – āi. Show that ker(o) is a principal prime ideal.

5722114/232409a959ba1f6c1b6844e7f0b3a74e 寶 Finish update Bac Dashb... Student Access Meridian Live Theat... 7th ELA Digital Ho... BSU Attendance Design Daily 7th 20... Master 1B Cuadern... All Bookmar Solve System of Equations from Context Score: 0/9 Penalty: none Question Watch Video Show Examples Jordan is working two summer jobs, making $13 per hour lifeguarding and $10 per hour walking dogs. Last week Jordan earned a total of $177 and worked 3 more hours lifeguarding than hours walking dogs. Determine the number of hours Jordan worked lifeguarding last week and the number of hours he worked walking dogs last week. Answer Attempt 1 out of 2 Jordan worked hours lifeguarding and hours walking dogs. Submit Answer Still Stuck?