Answer:
<u>first graph:</u>
function.
Not one-one
onto
<u>Second graph:</u>
Function
one-one
not onto.
Step-by-step explanation:
We know that a graph is a function if any vertical line parallel to the y-axis should intersect the curve exactly once.
A graph is one-one if any horizontal line parallel to the x-axis or domain should intersect the curve atmost once.
and it is onto if any horizontal line parallel to the domain should intersect the curve atleast once.
Hence, from the <u>first graph:</u>
if we draw a vertical line parallel to the y-axis then it will intersect the graph exactly once. Hence, the graph is a function.
But it is not one-one since any horizontal line parallel to the domain will intersect the curve more than once.
But it is onto, since any horizontal line parallel to the domain will intersect the curve atleast once.
<u>Second graph</u>
It is a function since any vertical line parallel to the co-domain will intersect the curve exactly once.
It is not one-one since any horizontal line parallel to the x-axis does not intersect the graph atmost once.
It is not onto, since any horizontal line parallel to the domain will not intersect the curve atleast once.
Answer:
y = 0.5x + 5
Step-by-step explanation:
The equation is in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given the ordered pair (0, 5 ) then c = 5
Calculate the multiplier using the slope formula
with (x₁, y₁ ( = (0, 5) and (x₂, y₂ ) = (2, 6) ← 2 ordered pairs from the table
m =
= 0.5, hence
y = 0.5x + 5 ← equation relating x and y
Answer:
D
Step-by-step explanation:
The angle CDG equals 90 degrees and the angle GDE also equals 90 degrees. Supplementary angles are angles that add up to be 180 degrees.
CDG + GDE = 180 degrees
M < = 2d + 4
m = 70
70 < = 2d + 4
70 - 4 < = 2d
66 < = 2d
66/2 < = d
33 < = d...or d > = 33
so the daughter is at least 33 inches
Since you know that the top angle is 90 degrees and the bottom is 45 that tells you that the only other angle has to be 45 degrees which means the side it opens up into is also 3radical2 so then you do a^2+b^2=c^2 and you get 4radical3