Domain Graphically
If a graph has a hole at x = 2, is 2 in the domain?
What is no?
What does an open circle represent on a graph?
What is a hole?
The domain of
f(x) = 1 / (x - 3)
What is all real numbers except x = 3?
Find and classify the discontinuity of the function
f(x) = 1/(x-5)
What is a VA at x = 5?
Factor x2 - 9
What is (x + 3)(x - 3)?
If a graph extends forever left and right, what is the domain?
What is all real numbers?
What feature on a graph creates a non-removable infinite discontinuity?
When finding the domain, what you do with the expression under an even radical
What is setting the expression to be greater than or equal to 0?
The discontinuities of
f(x) = x/3
What is continuous on its domain?
Factor x2 + 6x + 9
What is (x + 3)2?
Let P(t) represent total points scored during a basketball game and t represent time in minutes. The game lasts 48 minutes.
The domain of P(t).
What is [0, 48]?
If both sides of a graph approach the same y-value but the point is missing, what kind of discontinuity is it?
What is a removable discontinuity (hole)?
The domain of
f(x) = sqrt(5x - 7)
What is x is greater than or equal to 7/5?
How do you find the x-values of discontinuities in rational expression?
What is setting the denominator equal to zero?
Factor 2x2 - 8
What is 2(x - 2)(x + 2)?
True or False?
A graph with a non-removable jump discontinuity can have a domain of all real numbers.
What is true?
What are the three types of discontinuities?
What is removable, non-removable infinite, and non-removable jump?
The values excluded from the domain of
f(x) = 1 / (x2 - 9)
What is x = -3 and 3?
The hole(s) and/or VA(s) of the function
f(x) = (x - 2)/(x2 - 4)
What is a hole at x = 2 and a VA at x = -2?
Factor 3x2 - 10x + 3
What is all real numbers except 1 and -3?
Can a graph have more than one discontinuity?
What is yes?
The domain of
f(x) = sqrt(x + 7) / (x - 4)
What is x is greater than or equal to -7, but not including 4?
Find and classify all discontinuities of
f(x) = x(x - 3) / ((x - 3)(x+5)(x+8)).
What is a hole at x = 3 and VAs at x = -5 and -8?
Factor 2x3 + 7x2 - 9x
What is x(2x + 9)(x - 1)?