Functions and Graphs : Sketching, Domain, Range and Asymptotes
Not what you're looking for?
Please see the attached file for the fully formatted problems.
1. The length of a rectangular field is 3 times its width. If fencing costs $12 per metre, express the cost, C, of fencing the field as a function of the width, w.
2. Draw a set of axes and then plot the graph of the function f(x) = 2x ?4, for
?3<x<5.
3. (i) On a set of axes, sketch the graph of f(x) = x2 + 4x ? 1 for ?6 x 2.
Clearly show the points where the function crosses each axis and the point
where the function has its minimum value.
(ii) Describe, in words, how the graph of f(x) = (x + 1)2 + 4(x + 1) ? 1
would look on the same set of axes.
Sketch the function g(x) = , clearly showing the two asymptotes for the x+2
function.
Given that f(x) = + 3x ? x2, write down:
(i) f(-3)
(i) f(h)
(iii) f(3+h),
(iv) f(3+h)/h
6. Draw a set of axes, show the region for which 0 x 1 and 0 y 5.
Find the domain and range of the function f(x) = ? x. On a set of axes, give a sketch graph of f(x).
Purchase this Solution
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
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.