Chapter Review
Chapter
Chapter 1
Section
Chapter Review
Purchase this Material for $10
You need to sign up or log in to purchase.
Solutions 29 Videos

State the domain and range of each relation.

Buy to View
0.53mins
Q1a

State the domain and range of each relation.

Buy to View
0.33mins
Q1b

State the domain and range of each relation.

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

Buy to View
0.28mins
Q1c

State the domain and range of each relation.

y = 2x^2 + 11

Buy to View
1.07mins
Q1d

Which relations below is a function? Justify your answers.

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

  • y = 2x^2 + 11

Buy to View
1.03mins
Q2

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

Determine the equation of the function.

Buy to View
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.

Buy to View
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.

Buy to View
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?

Buy to View
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?

Buy to View
0.53mins
Q6

Perform each radical operation and simplify where needed.

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

Buy to View
1.12mins
Q7a

Perform each radical operation and simplify where needed.

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

Buy to View
0.32mins
Q7b

Perform each radical operation and simplify where needed.

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

Buy to View
0.31mins
Q7c

Perform each radical operation and simplify where needed.

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

Buy to View
0.45mins
Q7d

Find a simplified expression for the area of each shape.

Buy to View
0.22mins
Q8a

Find a simplified expression for the area of each shape.

Buy to View
0.27mins
Q8b

Solve each quadratic equation. Give exact answers.

3x^2 -2x - 2=0

Buy to View
0.52mins
Q9a

Solve each quadratic equation. Give exact answers.

6x^2 -23x + 20 = 0

Buy to View
1.17mins
Q9b

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

3x^2+ 4x - 5 = 0

Buy to View
0.22mins
Q10a

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

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

Buy to View
0.18mins
Q10b

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

9x^2 -12x + 4 = 0

Buy to View
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.

Buy to View
0.31mins
Q11

Determine the equation in standard form for each quadratic function.

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

Buy to View
1.20mins
Q12a

Determine the equation in standard form for each quadratic function.

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

Buy to View
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.

Buy to View
3.08mins
Q13

Determine the points of intersection of each pair of functions.

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

Buy to View
1.07mins
Q15a

Determine the points of intersection of each pair of functions.

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

Buy to View
0.59mins
Q15b

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

Buy to View
1.31mins
Q16

Do all linear-quadratic systems result in a solution? Justify your answer using examples.

Buy to View
Q17