Answer :
(a)
As x increasing from x = -1 to x = 2 the graph of the function g(x) is decreasing from y=3 to y = -1 and then increasing to y = 0.
The domain of the function g is [ -1 , 2 ]
The range of the function g is [ -1 , 3 ]
(b)
The graph of y = g(-x/2) + 1 is obtained from the original function y = g(x) by stretching horizontally by 1/2 units and then shifting to the left by 1 unit.
The graph of the function y = g(-x/2) + 1 is shown in the picture below
help with part b, im stuck :/ 7. The graph of (x) is given below. State...
7. The graph of g(x) is given below. State the domain and range of g(x) using interval notation. 9(2) 27 a. (4 pt) Give the domain and range of g(x). DOMAIN RANGE b. (6 pt) Use transformations to draw the graph of y = g( x) +1. 11. Given the polynomial graph below, answer the following. a. (2 pt) is the degree of the function even or odd? Explain how you know. b. (2 pt) is the leading coefficient positive...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm g) Sketch the graph...
need help Given the function f(x) = VX-7, (a) Find f '(x). (b) Graph fand in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of fandf (Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power,
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.
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.
Begin with the graph of y="Use transformations to graph the function. Then determine its domain, range, and horizontal asymptote. 10 Use the graphing tool to graph the function, C 4 2- -10 -8 4 5 Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer.) The domain of f(x)" X-7 (Type your answer in interval notation.) The range of f(x) = 6**? (Type your answer in interval notation.) The horizontal asymptote of f(x) =...
I need someone to help me, please. 2. a) Use transformations of the graph of y = 2* to graph y = 2x+2. -2 -5 b) Write the domain and range in interval and set-builder notation. c) Write an equation of the asymptote.
Given g(x)=3* +3 State the equation of the asymptote. Determine the domain and range of g(x). What is the equation of the horizontal asymptote of g(x) = 3* + 3? y= What is the domain of g(x) = 3* +3? (Type your answer in interval notation.) What is the range of g(x) = 3* +39 (Type your answer in interval notation.)
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...
help with a-c Use the graph to determine the following. a. the function's domain b. the function's range c. the x-intercepts, if any d. the y-intercept, if any e. the function value indicated below. 10 Q 5 X -10 -5 TE 5 10 -5- f(-2) a. What is the function's domain? (Type your answer in interval notation.) o