Mid Chapter Review on Functions
Chapter
Chapter 1
Section
Mid Chapter Review on Functions
Purchase this Material for $10
You need to sign up or log in to purchase.
Subscribe for All Access
You need to sign up or log in to purchase.
Solutions 23 Videos

Determine whether each relation is a function, and state its domain and range.

Buy to View
Q1a

Determine whether each relation is a function, and state its domain and range.

\displaystyle y = 2x + 3

Buy to View
Q1b

Determine whether each relation is a function, and state its domain and range.

Buy to View
Q1c

Determine whether each relation is a function, and state its domain and range.

\{(2, 7), (1, 3), (2, 6), (10, -1)\}

Buy to View
Q1d

The height of a bungee jumper above the ground is modelled by the following data.

a) Is the relationship between height and time a function? Explain

b) What is the domain?

c) What is the range?

Buy to View
Q2

Determine the domain and range for each of the following and state whether it is a function:

\displaystyle f(x) = 3x + 1

Buy to View
Q3a

Determine the domain and range for each of the following and state whether it is a function:

\displaystyle x^2+ y^2 = 9

Buy to View
Q3b

Determine the domain and range for each of the following and state whether it is a function:

\displaystyle y = \sqrt{5 -x}

Buy to View
Q3c

Determine the domain and range for each of the following and state whether it is a function:

\displaystyle x^2 -y = 2

Buy to View
Q3d

Arrange the following values in order, from least to greatest:

\displaystyle |-3|, -|3|, |5|, |-4|, |0|

Buy to View
Q4

Sketch the graph of each function.

\displaystyle f(x) = |x| + 3

Buy to View
Q5a

Sketch the graph of each function.

\displaystyle f(x) = |x| - 2

Buy to View
Q5b

Sketch the graph of each function.

\displaystyle f(x) = |-2x|

Buy to View
Q5c

Sketch the graph of each function.

\displaystyle f(x) = |0.5x|

Buy to View
Q5d

Determine a parent function that matches each set of characteristics.

a) The graph is neither even nor odd, and as x \to \infty, y \to \infty

b) (-\infty, 0), and (0, \infty) are both intervals of decrease.

c) The domain is [0, \infty)

Buy to View
Q6

Determine algebraically if each function is even, odd, or neither.

\displaystyle f(x) = |2x|

Buy to View
Q7a

Determine algebraically if each function is even, odd, or neither.

\displaystyle f(x) = (-x)^2

Buy to View
Q7b

Determine algebraically if each function is even, odd, or neither.

\displaystyle f(x) = x + 4

Buy to View
Q7c

Determine algebraically if each function is even, odd, or neither.

\displaystyle f(x) = 4x^5 +3x^3 -1

Buy to View
Q7d

The set of characteristics describes a parent function that has been shifted. Draw a possible graph, and state whether the graph is continuous.

There is a vertical asymptote at x = 1 and a horizontal asymptote at y = 3.

Buy to View
Q8a

The set of characteristics describes a parent function that has been shifted. Draw a possible graph, and state whether the graph is continuous.

The range is \{f(x) \in \mathbb{R} \Vert -3 \leq f(x) \leq -1\}

Buy to View
Q8b

The set of characteristics describes a parent function that has been shifted. Draw a possible graph, and state whether the graph is continuous.

The interval of increase is (-\infty, \infty), and there is a horizontal asymptote at y =-10.

Buy to View
Q8c

Sketch a graph that has the following characteristics:

  • The function is odd.
  • The function is continuous.
  • The function has zeros at x = -3 0, and 3.
  • The function is increasing on the intervals x\in (-\infty, -2) or x\in (2, \infty)
  • The function is decreasing on the interval x\in(-2, 2).
Buy to View
Q9