Chapter Review
Chapter
Chapter 1
Section
Chapter Review
Solutions 29 Videos

State the domain and range of each relation. 0.53mins
Q1a

State the domain and range of each relation. 0.33mins
Q1b

State the domain and range of each relation.

{(1, 4), (2, 6), (3, 10), (4, 18), (5, 29)}

0.28mins
Q1c

State the domain and range of each relation.

y = 2x^2 + 11

1.07mins
Q1d  • {(1, 4), (2, 6), (3, 10), (4, 18), (5, 29)}

• y = 2x^2 + 11

1.03mins
Q2

A linear function machine produces the points (2, 5) and (-3, -15).

Determine the equation of the function.

0.50mins
Q3a

A linear function machine produces the points (2, 5) and (-3, -15).

Is it possible for there to be more than one function to exist that will generate these values? Explain.

0.40mins
Q3b

(a) Draw a mapping diagram for these data:

{(4, -2), ((6, 1), (11, -7), (6, 7), (4, -7)}

(b) Is this relation a function? Explain.

0.46mins
Q4

A hall charges $30 per person for a sports banquet when 120 people attend. For every 10 extra people that attend, the hall will decrease the price by$1.50 per person. What number of people will maximize the revenue for the hall?

2.37mins
Q5

The power, P, in watts, produces by a solar panel is given by the function P(I) = -5I^2 + 100I, where I represents the current, in amperes (A).

(a) What value of the current will maximize the power?

(b) What is the maximum power?

0.53mins
Q6

Perform each radical operation and simplify where needed.

\sqrt{27} -4\sqrt{3}+ \sqrt{243} - 8\sqrt{81} + 2

1.12mins
Q7a

Perform each radical operation and simplify where needed.

-3\sqrt{3}(\sqrt{3}+ 5\sqrt{2})

0.32mins
Q7b

Perform each radical operation and simplify where needed.

(\sqrt{3}+5)(5 - \sqrt{3})

0.31mins
Q7c

Perform each radical operation and simplify where needed.

5\sqrt{2}(11 + 2\sqrt{2})-4(8 + 3\sqrt{2})

0.45mins
Q7d

Find a simplified expression for the area of each shape. 0.22mins
Q8a

Find a simplified expression for the area of each shape. 0.27mins
Q8b

3x^2 -2x - 2=0

0.52mins
Q9a

6x^2 -23x + 20 = 0

1.17mins
Q9b

Use the discriminant to determine the number of roots for each equation.

3x^2+ 4x - 5 = 0

0.22mins
Q10a

Use the discriminant to determine the number of roots for each equation.

-2x^2+ 5x - 1= 0

0.18mins
Q10b

Use the discriminant to determine the number of roots for each equation.

9x^2 -12x + 4 = 0

0.51mins
Q10c

Jessica reasoned that since 2 \times 2 =4 and 2 + 2 = 4, \sqrt{2} + \sqrt{2} must have the same value as \sqrt{2} \times \sqrt{2}. Is she correct? Justify your answer.

0.31mins
Q11

Determine the equation in standard form for each quadratic function.

x-intercepts -2 and 5, containing the point (3, 5)

1.20mins
Q12a

Determine the equation in standard form for each quadratic function.

x-intercepts -2 \pm \sqrt{5}, containing the point (-4, 5).

2.16mins
Q12b

A golf ball is hit, and it lands at a point on the same horizontal plane 53 m away. The path of the ball took it just over a 9m tall tree that was 8m in front of the golfer.

(a) Assume the ball is hit from the origin of a coordinate plane. Find a quartic function that describes the path of the ball.

(b) What is the maximum height of the ball?

(c) Is possible to move the origin in this situation on and develop another quadratic function to describe the path? If so, find a second quartic function.

3.08mins
Q13

Determine the points of intersection of each pair of functions.

y = 4x^2 - 15x + 20 and y = 5x - 4

1.07mins
Q15a

Determine the points of intersection of each pair of functions.

y = -2x^2 + 9x + 9 and y = -3x - 5

For what value of b will the line y = -2x + b be tangent to the parabola y = 3x^2 + 4x - 1?