7. For the following function: f (x) 2 log3 (2x + 3) – 4 state: a. the transformations applied to the base (parent) function: y = log3 x b. the domain C. intercepts d. asymptotes, Sketch a well labelled graph using the intercepts and the asymptotes.

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

Pls ans both

18. Sketch a graph of the function y = log, (-2x + 2) – 1. State the domain, the range, the equation of the vertical asymptote, and the exact value of the x- and y-intercepts. Label the axes and indicate a scale.

p9. Sketch the graph of the function, not by plotting points, but by starting with the graph of the base function and applying transformations. Label the coordinates of the key points (at least three) that you are using on the graphs of the functions. Use dashed lines for any asymptote(s) and include the equations of any asymptotes. Make sure to include a numbered scale for the x- and y- axis. y = log3 (x – 2) + 4 elgmsa g OAS s everi ew eaoqqu2 eyeb 8 to etil-iert s eeri 1Et-enibol .8 (atq 8) aysb 1 10fte priniemen aesm ert tot slummot s bni (.s) lemioeb eno of owene bruoA) Saysb IShefts anismen elgmsa erit to rtoum woH (d) pelg ismioeb eno of 1ewans bruoA) Sniemen p OT yino liw pnol word voftA (0)

A.x=-4 B.x=0 C.x=4 D.x=2

3. For the exponential function: f(x) = 2% - 1 %3D a) Find the x- and y-intercepts. b) Determine the horizontal asymptote. c) Graph the given function. Label all intercepts with ordered pairs. d) Identify the domain and range using the interval notation.

2. Given g(x) =- ft(* - 3)) – 5where f(x) = 2" a. Write the equation of the transformed function b. Graph the transformed function. Be sure to show all steps! c. State the domain ana range of the function -10

10. For the exponential function y = 2**3 - 1, which properties does the graph of the function have? a. domain (x e R}, range (y e R, y> -1), asymptote at y = -1 b. domain (x e R, x > -1}, %3D c. domain {x e R}, range {y e R}, asymptote at y = -1 d. domain (x e R}, range (y e R, y2-1), range y e R), asymptote at y = -1 asymptote at y = 1 noing onpli

Select the best answer for the quesIon 17. What type of transformation would occur with the following logarithmic functions? f(x) = log,x f(x) = logp(-x) O A. Reflection about the x-axis B. Horizontal translation to the left c units O C. Reflection about the y-axis D. Horizontal translation to the right c units