1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) -...
Use the function below to answer the following questions. y = -log, x (a) Use transformations of the graph of y = log, x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
5x-9 f(x) = х On what interval(s) is fincreasing and on what interval(s) is f decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function is increasing on and decreasing on (Simplify your answers. Type your answers in interval notation. Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) OB. The function is increasing on The function is never decreasing (Simplify your...
Use the function below to answer the following questions. y = log2 (x+4)+1 (a) Use transformations of the graph of y = log2 x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
(1 point) Suppose that f(x) = (??-9) (A) Find all critical values off. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeWork, you use I for 00,- for -00, and for the union symbol. If there are no values that satisfy the required condition, then enter ")" without the...
answer all with clear handwriting please. 2. (4 points) Let f(x) = x - 9x - 36x”. Find the zeros of the function algehraically (by factoring). and give the exact multiplicity for each zero (not just odd/even). State the behavior of the graph at each zero (whether the graph crosses the x-axts or touches the x-axts and turns around at each zero). Zero Multiplicity Behavior 3. (4 points) Solve the following inequality and graph the solution set on a Real...
Question 8 (20 points) Use the function g( 3 40-16 Yon to answer the following questions 1) The equation(s) of the vertical asymptote(s). If there are multiple vertical asymptotes, enter commas between the equations, no spaces. If no vertical asymptotes exist, enter "none". 2) The value of x of any holes in the graph. If multiple holes exist, enter commas between the values, no spaces. If no holes exist, enter "none". 3) The equation(s) of the horizontal asymptote(s). 3) The...
Use the graph of y=e* and transformations to sketch the exponential function f(x) = new Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. Use the coordinates of the three points of the graph of y=e* to determine the corresponding points that lie on the graph of f(x) = -ex+6 Points that lie on the graph of y=e Points that lie on the graph of y=e* (-2,5) (0,1) (1,) Corresponding points that...
please help! Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
+ ww. Consider the function below. x)e-1/x+6) (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x -6 Find the horizontal asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) y 1 (b) Find the interval(s) where the function is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (-o0, - 6) U (-6,00) Find the...