what is the equation for the basic parent function(original line)?
what is the equation used for direct variation?
y=Kx
What is the EQUATION and SLOPE of this graph?
x=2
What axis does the Domain represent?
What axis does the Range represent?
Domain=X
Range=Y
what is another word for X-intercept?
Zero
Solve the following equation
y = -3
The value of y is directly proportional to the value of x. When x = 280, y = 315.
What is the value of y when x = 40?
45
What is the slope of this graph?
M=
1/2
When asked to find the domain and range on a graph...
1. If you have a starting and stopping point what are the only two inequality symbols you can use?
2. If you only have one point on the graph how many symbols can you use?
1. lt and le
2. all 4 symbols lt,le,gt,ge
What is the zero and y intercept on this graph?
Zero also known as (x intercept) = 3
y intercept = 9
f(x)= 3x2+4x-8
what is f(-4)
when x varies directly to y, what is the missing Y value?
7.5
What is the SLOPE and linear EQUATION (y=mx+b)of the line that passes through the points (-1, 4) and (2, 16)?
y=4x+8
m=4
f(x)=6-2x
Domain AND Range would be
*All real Numbers*
What are the x-intercept and the y-intercept of the line represented by the equation 5x - 3y = 15
please give me your answer in point form.
x intercept = 3 or (3,0)
y intercept = -5 or (0,-5)
The rectangle below has a perimeter of 60 units. What is the length of the longer side?
17 units
Karen earns $28.50 for working 6 hours. If the amount m, she earns varies with h, the number of hours she works, how much will she earn for working 10 hours?
$ 47.50
F. The increase in kilometers per minute of riding time
G. The kilometers of each bike ride
H. The riding time of each bike ride
J. The increase in the minutes of riding per kilometers
F. The increase in kilometers per minute of riding time
What is the Domain of this graph?
1 lt x le 4
The function f(x) = x is graphed on a coordinate grid. The function g(x) = 3.6x – 2.5 is graphed on the same coordinate grid. Explain what happened to graph g(x) and its Y-intercept compared to its parent function.
graph g(x) is steeper and its y-intercept moved down 3.5 units compared to the parent function
A certain function is represented by
f(x)= 8x-1. If f(x)= 47 , find the value of x
x=6
The amount of gas consumed by a car varies directly with the miles driven. The car traveled 160 miles and used 10 gallons of gas. If the car traveled 400 miles, how many gallons of gas would be used?
25 gallons of gas
The equation 2x – 6y = –18 is in standard form. Solve for the SLOPE and EQUATION by putting the equation in slope-intercept form(y=mx+b)
m=1/3, equation: y=1/3x+3
The number of ferryboat trips, f (c), needed to transport c cars in 1 day can be found using the function . If no more than 8,000 cars are transported by ferryboat daily, what is the range of the function for this situation?
A.The set of all integers greater than or equal to 8,000
B.The set of all integers from 0 to 8,000
C.The set of all integers greater than or equal to 400
D.The set of all integers from 0 to 400
D
which function best represents the graph of g(x)
F. g(x) = f(x) - 4
G. g(x) = 1/3f(x)
H. g(x) = f(x) - 2
J. g(x) = 3f(x)
J. g(x)= 3f(x)