Functions/Graphs
Which test can be used to determine whether a graph represents a function?
The vertical line test.
Is this exponential growth or exponential decay?
y=200(0.9)x
Decay
Simplify:
(x2+6x) - (x2-4x)
10x
Solve for x:
2x+5=17
x=6
Which point is a solution to y= x3-2x?
(1) (-3,-21)
(2) (-2,10)
(3) (1,1)
(4) (4,2)
(1)
1.) Does graph 1 represent a function?
2.) Does graph 2 represent a function?
(on the whiteboard)
1.) No
2.) Yes
What is the original value of the exponential function shown below?
y=467(.09)x
467
Simplify:
(x+6)(x+4)
x2+10x+24
x/4 + 3=10
x=28
Chloe is solving the equation: x2+5x=3x+3.
Her first step to solving: x2+2x-3=0
Which property justifies this step?
(1) the zero product property
(2) the commutative property
(3) the distributive property
(4) the subtraction property of equality
(4)
A graph has the points (2,30) and (10,150).
Find the rate of change.
15
Simplify:
(x3)2 ⋅ x-4
x2
Simplify:
(x+2)(x2+3x−4)
x3+5x2+2x-8
Solve for x:
x2+4x=12
x=2 and -6
A geometric sequence with a common ratio of -3 is:
(1) -10,-7,-4,-1, ...
(2) 14,11,8,5, ...
(3) -2,-6,-18,-54, ...
(4) 4,-12,36,-108, ...
(4)
On your whiteboard, graph this inequality.
x≤48
Checked by the teacher.
Simplify this fraction:
3x4y-2/6x-1y3
x5/2y5
Simplify:
(3x3+5x2-2x+7) - (-2x3-2x2+4x-3)
5x3+7x2-6x+10
Solve for x:
x2+5x-3=0
x=-5 + or - √37 / 2
The expression 36x2-9 is equivalent to:
(1) (6x-3)2
(2) (18x-4.5)2
(3) (6x+3)(6x-3)
(4) (18x+4.5)(18x-4.5)
(3)
Find the slope and y-intercept of the line
2x=6y−15
Slope: 1/3
Y-intercept: 5/2 or 2.5
A snowboard depreciates by 20% each year. After 3 years, its value is $512.
What was the original price of the snowboard?
$1000
Simplify completely:
(x2−2)(x+3)(2x−1)
2x4+5x3-7x2-10x+6
Using the quadratic formula, solve:
6x2+2x-1=0
Express the answer in simplest radical form.
x= -1+or- √7/6
A hallway is 528 inches long. How many yards long is the hallway?
(Hints: 12 inches = 1 foot, 3 feet = 1 yard)
(1) 14 yards
(2) 15 yards
(3) 16 yards
(4) 17 yards
(2)