Linear Functions
A straight line has a slope of 3 and goes through point (2,1).
What is
y=3x-5?
This is the distance between the points P(-8,4) and ܳQ(7,-16).
What is 25?
The equation for a circle with center (0,0)
and radius 6.
What is
x^2+y^2=36?
The relation is:
G = {(1,1),(1,2)(1,3)(2,3)}
(Hint: Decide whether the relation defines a function)
What is "this is not a function?"
As the correspondence shows above, relation G is not a function because one first component corresponds to more than one second component.
The log(log10).
What is zero?
The steepness of the line that goes through points (2,3) and (4,2).
What is the slope of
-1/2?
The coordinates of the endpoint of the line segment, given its midpoint (5,8) & other endpoint (13,10).
What is (-3,6)?
The equation for a circle with center (-2,5) and radius of 4.
What is (x+2)^2 + (y-5)^2 = 16?
A relation is {(3, 1),(4,2),(4,5),(6,8)}.
(What is the domain and range?)
What is a domain of {3, 4, 6} and a
range of {–1, 2, 5, 8}?
The result of
(10^2)^-3
What is
10^-6
The points on the X and Y axis where the line 4x-3y=12 cross each axis?
What is x=3 and y=-4?
The distance formula.
What is
sqrt(Deltax^2+Deltay^2
The equation of a circle written in expanded form is:
x^2+y^2+6x+8y+9=0
(Hint: give the equation of a circle in its standard form)
What is (x+3)^2 + (y+4)^2 = 16?
2 xx 2/(3*x^2)
The Domain and Range of
y = sqrt(2x-1)
What is a domain of
[1/2,oo)
and a range of
[0,oo)?
The value of x in the equation
12^x=7
What is .783?
The line parallel to 2x+3 that goes through the point (0,-4).
What is 2x-4?
The point (5,-6) is related to the point (5,6) by this reflection?
What is the reflection over the x axis?
A circle whose equation is
(x-2)^2+(y+1)^2=5
has this radius.
What is the square root of 5?
When f(x)=2+3 and g(x)=4x-2, this is the result of
f(g(x)).
What is 8x-1?
The answer for
ln(ln e)
What is zero?
A function that has a constant slope & domain of
(-oo,oo)
and range of
(-oo,oo)
What is a linear function?
Graph G has a line of symmetry of x = –5/2. Graph G passes through the point (3, 3). This is the x-coordinate of another point that must have a y-coordinate of 3.
What is -8?
The line of symmetry is x = –2.5. The point (3, 3) is 3 – (–2.5) = 5.5 to the right of this line of symmetry. It’s reflection must be 5.5 units to the left of the line of symmetry, so (–2.5) – (5.5) = –8 is the x-coordinate.
Decide whether this equation has a circle as it graph. If yes, give its equation. If not, describe the graph.
x^2+y^2+4x-8y+32=0
What is a non-existent circle?
Note: it is nonexistent since -12<0
If f(x)=8x-4 and it is shifted 2 units to the right and 6 units up, this is the resulting equation in y=mx+b form.
What is 8x-14?
The expression rewritten as a single logarithm of:
1/2 log x + 4 log y
What is
log(x^(1/2)y^4)?