Select the graph of the transformation of f (z) = 5%. Then, give the horizontal asymptote, the domain, and the range. f(z)=5"2 y y 7 7 7 1 X X 7 3 q 7 7 3 A{I 7 7 ) 7 Domain (using interval notation): Range (using interval notation): The graph of f (z) = 8% is reflected about the y-axis and stretched vertically by a factor of 4. a. What is the equation of the new function, g (z)? @] b. What is the y-intercept? (I i r J Question Help: [ VIDEO Find the domain of the function and then graph the function on your own. Use the graph to identify the asymptotes and intercepts. Enter "DNE" if there is no intercept or asymptote. f (x) = 10logx +1 Domain: Asymptote: x-intercept: 0) y-intercept: (0, Question Help: B Written ExampleState the domain and vertical asymptote of the function. f(z) = logs (2 4) + 2 Question Help: B VIDEO Use like bases to solve the exponential equation. Answer exactly. 42:::_ (:_6) o 4:c+3 Question Help: B VIDEO [ Written Example Use logarithms to solve. Round to 3 decimal places. 3$+2 52&:2 oz= | No Solution Question Help: [ VIDEO Use the definition of a logarithm to solve the equation. Answer exactly. 3log(6a +4)+6 =12 Question Help: B VIDEO Solve the equation for z. log (z) + log (z 10) = log (11z) Question Help: B VIDEO [B Written Example The population of a certain region grew from 17.2 million in 2005 to 20.9 million in 2012. a. Find a function of the form P (t) = Ce that models the population growth of the region. Here, is the number of years since 2005, and P () is in millions. Round your k value to 3 decimal places. O b. Use your model to predict the population of this region (in millions of people} in 2019. Round your answer to the nearest tenth of a million. Question Help: B Written Example A scientist begins with 275 grams of a radioactive substance. After 300 minutes, the sample has decayed to 37 grams. To the nearest minute, what is the half-life of this substance? minutes Question Help: B VIDEO [B Written Example A truck with 32-inch diameter wheels is traveling at 45 mi/h. Round answers to the nearest whole number. Find the angular speed of the wheels in rad/min. rad/min How many revolutions per minute do the wheels make? rev/min Question Help: [ VIDEO [ Written Example A wheel of radius 14 inches is rotating 15/s. Round answers to 2 decimal places, where necessary. What is the linear speed v? inch/s What is the angular speed in RPM? RPM What is the angular speed in rad/s? rad/s Question Help: B VIDEO