Answer: NO
<u>Step-by-step explanation:</u>
In order for the function to be one-to-one, it must pass the vertical line test AND the horizontal line test.
The vertical line test is where you draw a vertical line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate x-value.
The horizontal line test is where you draw a horizontal line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate y-value.
The graph provided passes the vertical line test but fails the horizontal line test. <em>One example is that there are two x-intercepts.</em>
Answer:
Answer is C.
Step-by-step explanation:
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X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n
1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
Y=3
to solve this you just substitute 4 in for x into the equation and solve for y. since negative 3 plus 7 is 4, y=4
Answer:
a. -5
b.-5
c.-5
Step-by-step explanation:
In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.
Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is
- ARC = [f(x2)-f(x1)]/ (x2-x1)
<em>In case a)</em>
f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23
Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5
<em>In case b)</em>
f(a)= (-5a-8)
f(b)= (-5b-8)
Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5
<em>In case c)</em>
f(x)= -5x-8
f(x+h)= -5(x+h)-8= -5x-5h-8
then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5