Grade 11 Mathematics- Functions and Relations Unit
14 views 0 purchase
Course
Mathematics
Institution
11th Grade
These are useful Unit Review Notes for the first three units of grade 11 content. This includes Rational Expressions, Combinations of Functions, and Quadratic Functions. These cover most of the concepts including extra practice work with solutions. Great way to get ahead into the grade 11 year!
2) Use the discriminant to find the value(s) of k such that the equation 3kx 2 4 x 2 0 has 2 equal real roots
3) a) Use a graph to represent a quadratic function that has two imaginary roots.
b) How you would use a discriminant to show that the quadratic function has two imaginary roots.
4) Solve for x using the best method
a) 9 x 2 3x 2 0 b) 6 x 2 7 17 x
c) x 2 2 x 7 0 d) 3( x 3) 2 27 0
1 2
5) Find the vertex of y x 5 x 5 by completing the square. State the maximum or minimum value for the function and when
2
it occurs.
6) A public swimming pool that is 15 metres by 20 metres needs a sidewalk of uniform width around
it. City by-law states that the area of this sidewalk must be equal to the area of the pool. What is the width of the sidewalk to 1
decimal place?
7) When priced at $30 each, a toy has annual sales of 4000 units. The manufacturer estimated that each $1 increase in cost will
decrease sales by 100 units. Find the unit price that will maximize total revenue.
8) Find the maximum product of two numbers whose sum is 22. What are the two numbers?
9) The path of a basketball shot can be modelled by the equation h = – 0.125d2 + d + 1.5, where h is the height of the basketball, in
metres, and d is the horizontal distance of the ball from the player, in metres. Place your answers on the line. (6 marks)
a) Find the maximum height reached by the ball. a) _______________
b) What is the horizontal distance of the ball from the player when
it reaches maximum height? b) ______________
c) What is the height of the ball at the moment the player releases it? c) _______________
10) The hypotenuse of a right triangle is 15cm. The sum of the other two sides is 21 cm. Find the lengths of the other two sides of the
triangle.
11) a) Determine the general equation for the quadratic family that has zeros at 3 and -6.
b) If a quadratic in this family has a y-intercept of -12, determine its equation.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller nyaa. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.73. You're not tied to anything after your purchase.
