Functions, Domain and Range
can a function have two y values for one x value? (ex. (2,5) and (3,5) on the same graph)
no. Functions cannot have two outputs (y values) for one input (x value)
Which one of these numbers is an irrational number?
12.33333..., 153, √7
√7
What is the gradient of a horizontal line?
0
What is the definition of the equation of a line?
An equation that describes the linear relationship of any point on a line.
What formula is used to find the distance between two points?
d = √(x2 - x1)2 + (y2 - y1)2
what axis does "domain" refer to? (ex. x-axis or y-axis)
The domain refers to the x-axis
what is a rational number?
a number that can be made into a fraction
What does a negative gradient tell you about a graph?
As x increases, y decreases. (The line slopes downward)
What is the gradient-intercept form and standard form?
y=mx+c transformed into ax+by+d=0, where a, b, c, dEZ
The distance between two points is calculated using: √(8 - 2)2 + (7 - 3)2
What is the distance?
=√36 +16
=√52
=2√13 = 7.21
a function extends infinitely up and to the right and starts at point (5,9)
what is the domain of the function?
5 ≤ x < ∞
how many significant figures is in the number 10080
4 sig figs
Find the gradient between the points (-2, 5) and (4, 8).
1/2
Determine the equation of the line given the points: (-2,4) and (1,10)
y = 2x + 8
Find the midpoint of the points (2, 4) and (6, 8).
(2+6/2, 4+8/2) = (4, 6)
can a graph that has the points (3, 5), (3, 7), (7, 9), and (9, 9) be a function?
no because the input (x-value) 3 has an output (y-value) of both 7 and 9.
what is the scientific notation of 10027.85 rounded to three significant figures?
(you can use your calculators)
1.01 * 1020
A line has equation y = 7x - 2. What is its gradient?
7
Determine if the given ordered pairs would make a vertical or horizontal line: (-4, -1) and (7, -1)
Horizontal line
What is the midpoint of (-10, 6) and (10, -6)?
(0, 0)
a function contains numbers between (-19, 23) and (7, -3) but does not contain (7, -3).
what is the range of the function?
-3 < y ≤ 23
list all number sets that apply to 1512
1512 is a rational number, integer, whole number, and a natural number.
Two lines are perpendicular. One has gradient 2/3.
What is the gradient of the other line?
-3/2
Given the gradient is -1/3 and a point on the graph is (-2,5), determine the equation in the form y=mx+c.
y-5 = -1/3(x-(-2))
y-5 = -1/3(x+2)
y = -1/3x+13/3
Find both the midpoint and the distance between (1, 1) and (9, 7).
Midpoint = (5, 4)
Distance = 10