X. F(x)
1 answer:
Answer:
- A. There is a line symmetry at x=1.5
- D. There are x- intercepts at (-1,0) and (4,0)
Step-by-step explanation:
The average of x-coordinates corresponding to the same F(x) value is 1.5. That is ...
(-2+5)/2 = (-1+4)/2 = (0+3)/2 = 1.5
The values in the table appear to be symmetrical about x=1.5, so that is a line of symmetry.
__
The x-intercept points are those points where F(x) = 0: (-1, 0) and (4, 0).
__
The y-intercept is (0, -4), not (-4, 0).
On the interval [0, 5] the function is both decreasing and increasing.
You might be interested in
Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.
Now add 10 to this x coordinate , we get x1==
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get
k=17