Answer:
Answers A and B respectively
Step-by-step explanation:
In the first pic, they are asking you for the value of the function at the points x = -1 and x = 5. Then you are asked to subtract your results. When the value of 'x' is -1, the 'y' value is 3. When the value of 'x' is 5, the 'y' value is -4. Therefore:
[tex]f(-1)-f(5)=3-(-4)=7[/tex]
Answer A
For the second problem, they are saying that the line connecting points A and B is undefined. This means the slope is undefined along that line. An undefined slope is due to a zero in the denominator. Begin by taking the change in 'y' over the change in 'x' to get:
[tex]\frac{y_1-1}{x_1+2} =m[/tex]
In order for our slope 'm' to be undefined, set the denominator to zero and see at what 'x' value this occurs at:
[tex]x_1+2=0[/tex]
[tex]x_1=-2[/tex]
Then they say that the line connecting points C and D is zero. A zero slope would mean a zero in the numerator. Again, begin by taking the change in 'y' over the change in 'x' to get:
[tex]\frac{3-y_2}{-5-x_2} =m[/tex]
Set the numerator equal to zero to get:
[tex]3-y_2=0[/tex]
[tex]y_2=3[/tex]
Answer B
