Function or Not
What test can you use on a graph to decide if it is a function?
Verticle Line Tes
In a one-to-one function, can two different x-values have the same y-value?
No.
Domain describes which values: x or y?
X-Values
A graph has no holes, jumps, or breaks. What is it called?
Continuous
A relation gives each x-value exactly one y-value. What is this called?
What is a Function?
Is (1,3),(2,5),(3,7) a function?
Yes, Why?
What test helps determine if a graph is one-to-one?
Horizontal Line Test
Range describes which values: x or y?
Y-Values
A graph is made only of separate, unconnected points. What is it called?
Discrete
What test can you use on a graph to determine whether it represents a function?
What is the Verticle Line Test?
Is (1,4),(1,7),(3,9) a function?
No. X = 1 has two different y-values.
Codomain = {2,4,6}. Range = {2,4,6}. Is the function onto?
Yes
Domain = {−2,0,2,4}. How many x-values are in the domain?
4
A graph has a hole in the middle. Continuous or discontinuous?
Discontinuous
Is this relation a function? {(1, 4), (2, 5), (3, 6), (1, 7)}
What is NO? The input 1 has two different outputs.
If a vertical line touches a graph twice, is the graph a function?
No.
Codomain = {1,3,5,7}. Range = {1,3,7}. Is it onto? Why or Why not?
No. 5 was not hit.
What is the difference between range and codomain?
Range = y-values actually used. Codomain = y-values allowed/possible.
True or False: A discrete graph has separate points that are not connected.
True
A graph can be drawn from left to right without lifting your pencil. What type of function does this describe?
What is a continuous function?
Is (−2,4),(0,4),(3,7) a function? Explain.
Yes. The x-values do not repeat with different y-values.
A function hits every y-value in its codomain exactly once. Is it one-to-one, onto, or both?
Both.
Domain = {−2,0,2}, and the points are (−2,3),(0,5),(2,7). What is the range?
{3,5,7}
Explain the difference between continuous and discrete.
Continuous graphs are connected; discrete graphs contain separate points.
A graph has an open circle at x = 3, creating a hole in the graph. Is the function continuous at x = 3?
What is NO?