Graphical Representations of Different Functions
Not what you're looking for?
1. Use the graph of f(x)= x^ to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
F(x) = x^
Give the following functions and Description of transformation and plot the graph of each.
a) G(x) = (x-2)^
b) H(x)= x^ -2
c) i(x) = (x+3)^
d) j(x)=(x+1)^+ 3
2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.
a) F(x) = 4x^ - 7x+3
b) G(x) = 10 / x+7
c) F(x) = sqrt( 4x-16)
3. Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line.
a) Find the vertical asymptote of the function f(x) = 4/ x + 5
b) Find the horizontal asymptote of the function g(x) = 5x^-4/ x+1
c) Find the vertical and horizontal asymptotes of the function f(x) = 3x - 1/ x+4
d) Find the vertical and horizontal asymptotes of the function g (x) = x+7/x^ - 4
Purchase this Solution
Solution Summary
The graphical representations of different functions are examined. The functions and descriptions of transformation and plot the graph is determined.
Solution Preview
Please see the attachment for the graphs.
1. Use the graph of f(x)= x^2 to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
F(x) = x^2
Give the following functions and Description of transformation and plot the graph of each.
a) G(x) = (x-2)^2: the graph of f(x) is shifted 2 units to the right.
b) H(x)= x^2 -2: the graph of f(x) is shifted 2 units down
c) i(x) = (x+3)^2: the graph of f(x) is shifted 3 units to the left
d) j(x)=(x+1)^2+ 3 : the graph of f(x) is shifted 1 unit to the left, 3 units up.
2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.
a) F(x) = 4x^2 - 7x+3 ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Probability Quiz
Some questions on probability