Answer:
D: The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.
Step-by-step explanation:
The given rational function has vertical asymptotes and holes. Remember that an asymptote is placed when the function has undetermined results, when we give a x-value and the y-value cannot be determined, there we say exists an asymptotes, which is a punctual line that represents a discontinuation of the graph, the trace cannot cross that asymptote, it divide the whole function graph.
So, in this case we have to undetermined results when the function has a hole of x = 3, and vertical asymptotes when x = 0 and x = 5.
Answer:
y = -1/6x + 0
Step-by-step explanation:
Using the equation of line
y_2 - y_1 / x_2 - x_1 = y - y_1 / x_1
Using the information we are provided with
( -3, 0.5)(3 , -0.5)
y_1 = 0.5
x_1 = -3
x_2 = 3
y_2 = -0.5
-0.5 - 0.5 / 3- (-3) = y - 0.5 / x - (-3)
-0.5 - 0.5 / 3 +3 = y - 0.5 / x + 3
-1 / 6 = y - 0.5 / x + 3
Cross multiply
-1(x + 3) = 6(y - 0.5)
Open the brackets
-x - 3 = 6y - 3
-x - 3 + 3 = 6y
-x + 0 = 6y
Divide through by 6 to get y
Following the eqn y = mx + C
-x + 0 / 6 = 6y / 6
y = -x + 0 / 6
We can separate it
y = -x / 6 + 0/6
y = -1/6x + 0
Therefore, the equation of the line is
y = -1/6x + 0
Answer:
for the first one is <em><u>Addition</u></em><em><u>. </u></em> the second one is
What is the McDonald's math challenge
