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

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

\displaystyle y = 2x + 3

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

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

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

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?

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

\displaystyle f(x) = 3x + 1

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

\displaystyle x^2+ y^2 = 9

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

\displaystyle y = \sqrt{5 -x}

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

\displaystyle x^2 -y = 2

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

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

Sketch the graph of each function.

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

Sketch the graph of each function.

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

Sketch the graph of each function.

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

Sketch the graph of each function.

\displaystyle f(x) = |0.5x|

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)

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

\displaystyle f(x) = |2x|

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

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

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

\displaystyle f(x) = x + 4

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

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

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.

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\}

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.

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).