Functions

Question 1

What is an asymptote?

Answer 1

A line that a curve gets closer to, but never touches.

Question 2

Equation of axis of symmetry of a quadratic function.

Answer 2

x = - b/2a

Question 3

How do you determine the point(s) of intersection of two graphs?

Answer 3

1. Equate the two functions.
2. Solve for x value(s) where they intersect.
3. Substitute the x value(s) in one of the functions and obtain y value(s).

Question 4

In the equation y = a(x - p)^2 + q, what do the letters p and q represent?

Answer 4

p represents the x-value of the turning point
q represent the y-value of the turning point

Question 5

What is meant by the domain and range of a function?

Answer 5

Domain refers to all the possible values of x
Range refers to all the possible values of y

Question 6

In the equation of a hyperbola y = a/(x - p) + q, what do the letters a, p and q represent?

Answer 6

a determines the shape of the hyperbola as well as the quadrants the hyperbola lies in.
q represents the horizontal asymptote
p represents the vertical asymptote

Question 7

What is the domain and range of a hyperbola?

Answer 7

x E R, x != p
y E R, x != q

Question 8

In the exponential function equation y = ab^(x - p) + q, what does a and q represent?

Answer 8

a determines the shape of the graph
q determines the horizontal asymptote

Question 9

How do you determine the x-intercept(s) and y-intercept(s) of a function?

Answer 9

For x-intercept, make y = 0 and solve for x
For y-intercept, make x = 0 and solve for y

Question 10

Which function does the following equation represent
y = a(x - R1)(x - R2)
What do R1 and R2 represent?

Answer 10

The equation represents a quadratic function(parabola)
R1 and R2 are the x-intercepts of the parabola.