Answer:
Step-by-step explanation:
Hello, when you have an equation like y = ax+b you know that this is a line.
In this example, the function is defined in two different intervals.
For x < 1 this is the line y = 4 + x
and for x>=1 this is the line y = 4 - 2x
At the frontier, x= 1, we have 4+1=5 on one side and 4-2=2 on the other side, we we expect a "jump" in the graph.
Except that "jump"you just have to draw lines, so if you have two points you can draw them right.
For x<1, the line is passing by (-4,0) and (0,4)
And you have to stop for x<1 so the point (1,5) is not on the graph.
for x>=1 the points (1,2) and (2,0) are on the graph and we just have to draw the line.
I attached the graph.
Thanks
Answer:
C no, because one x value corresponds to two different y values
Step-by-step explanation:
The x value of 3 goes to two different y values
This means this cannot be a function
This is not a one to one correspondence
The expression for the height is given in quadratic expression form
Ax² + Bx + C
Where A, B, and C are constant
To find the x-coordinate when the graph reaches maximum/minimum, we use the formula
x = -B ÷ 2A
We have
h = -16t² + 112t + 30
The value for A = -16, B = 112, and C = 30
Substitute these into x = -B ÷ 2A we have
t = -112 ÷ (2×-16) = 3.5
The maximum height is reached when t = 3.5 sec
The height when t = 3.5 sec is given
h = -16(3.5)² + 112(3.5) + 30 = 226 feet