1. Determine the number of points of intersection of the quadratic and linear functions  and  without solving. Explain your answer.

2. Determine the maximum value for the function . 

3. Simplify. 

4. Determine the point(s) of intersection of the functions  and  algebraically.

5. Is the function shown linear or quadratic? Explain your answer.

     

6. Travis and Laura are rock climbing. Travis throws a spike to Laura. The function  models the height of the spike in metres above the ground at time t. Laura is 135 m above the ground. Did Travis’ throw reach Laura? Explain your answer.

7. Determine the equation of the parabola in standard form with x-intercepts , and that passes through (–5, –4). Explain how you found your answer.

8. Expand and simplify .

9. A new music recording company predicted that the profit function for the first year would be . Determine whether the company can break even. If the company can break even, determine in how many ways it can do so. Explain your answer.

10. Gloria is skeet shooting. The height of the skeet is modelled by the function , where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function , with the same units. 
a) How high off the ground will the skeet be when it is hit?
b) After how many seconds will the skeet be hit?

11. Determine the number of zeros of the function  without solving the related quadratic equation or graphing. Explain your thinking.

12. A store is to be built on a rectangular lot that measures 70 m by 45 m. A lawn of uniform width, equal to the area of the store, must surround it.
a) How wide is the strip of lawn?
b) What are the length and width of the store?

13. What is the length of the hypotenuse for the triangle shown? Write your answer in simplest form.  (The triangle is a right triangle)

 

 

AccountingQueen

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Status NEW Posted 24 Aug 2017 01:08 PM My Price 10.00

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