Quadratic Equation
find the domain/range
x=2x2+1
Negative infinity grader than x grader than infinity
1 grader than y grader than infinity
write the equation in the standard form
y=x+5
Solve= x -12> 8
x>20
Graph y=3x ,and state the domain
D=all real numbers
Use the graph at the right to determine whether each system is consistent or inconsistent and if it is independent or dependent?
y=-2x+3
y=x-5
consistent and independent
find the x-intercept
x2+6x=27
3 and -9
To find the x-intercept, let y=0
x=8
Solve=-3x -4 < -7
x>1
Graph y=(1/3)x and state the range
R={0<y<infinity}
Graph each system and determine the number of solutions that it has, If it has one solution, name it?
a= y=-3x+10
y=x-2
3,1
Find the y-intercept
Y=ax2+x+1
Y=1
Solve x2+9x +18 =0
A=1
B=9
C=18
x=3 or x=-6
Solve= -3x-8>-26
x<6
Determine whether the exponential function f(x)=a3x,a>0,b>1 is a growth or decay
Growth
What is the point of intersection of the lines with equation x=7 and y=-9?
Find the vertex
Y=3x2+6x-2
(-1,-5)
Solve 5x squared 8x - 12=0
A= 5
B= 8
C=12
x=0.94
-2x+1>5
x<3
Determine whether the exponential function a1/4x,a>0,0<b<1 is a growth or decay
Decay
Matt graphs y=-0.5x -10, how is matts graph different from the graph of the function y=x?
b. it is not as steep, it slopes downward, and the y-intercept is lower.
Find the factors
Y=3x2+6x-2
A.(x+2)(x+2)
B.(x+3)(x+3)
C.(x+4)(x+4)
D.(x+2)(x-3)
A.(x+2)(x+2)
Solve for X y= 1.5- 0.0625x
x= 24
Solve=4(x+1)<2x+3
x=< -1/2
Simplify g3h5/gh2. Assume that no denominator equals zero.
g2h3
Since the graphs of these two lines intersect at one point, there is exactly ones solution, Therefore, the system is consistent and independent?
b. y= -2x-5
y=-2x+3
Since the graphs of these two lines are parallel, there is no solution of the system, the solution is inconsistent