Step-by-step explanation:
The function is given by
It is an absolute value function which has a v- shaped graph.
The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.
Comparing the given equation with this, we have
h = 12
k = -2
Hence, the vertex would be (12,-2).
Now, the range of the function is the set of y values for which the function is defined.
This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.
Hence, the range would be the all y values greater than or equal to -2.
Hence, the range is given by
Answer:
y=2x
Step-by-step explanation:
it is a proportional relationship and the slope is 2
Answer:
y=-2x+12
Step-by-step explanation:
This is an equation in slope-intercept form:
y=mx+b (where m is the slope and b is the y-intercept)
We are given the slope, -2.
y=-2x+b
We plug in the values (5,2):
2=(-2)*5+b
2=-10+b
b=12
The equation is:
y=-2x+12
No
0.04 is actually smaller than 0.4 because the four is in the hundredths place which is smaller than the four in the tenths place of 0.4
Hello!
The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.
First, let's find the y-intercept. This is where the line hits the y-axis. Therefore, it hits at 4 on the y-axis, so our y-intercept is 4.
To find the slope, let's find 2 points on our line. Let's use (0,4) and (2,5). We divide the difference in the y-values by the difference in the x-values as shown below.
Therefore, our slope is 2.
Now we plug these values into our equation.
y=2x+4
I hope this helps!
