Absolute Value
Functions
Functions
Solve the inequality to find the range of x values that make the equation true.
4l2x-3l-7 < 5
0 < x < 3
Factor
2x2-6x-20
2(x+2)(x-5)
Find the inverse of the following function:
f(x)= 6-x
f-1(x)=-x+6
What is the value of x to the nearest hundreth
2(5x+1)-4=7
x=.49
let f(x) = 14x3+28x2-46x and g(x) = 2x+7 what is the solution set to the equation 1/12 f(x) =g(x)
***Hint***
Solution sets are the x value at the intersections
{-3,-1,2}
If a box of spaghetti can weigh 32 grams with a tolerance of 0.25 grams what is the range a box of spaghetti can weigh?
31.75-32.25 grams
x3-216
(x-6)(x2+6x+36)
What is the length of the radius of the circle represented by the equation
x2+y2-4x-4y+4=0
2 Units
Find the value of x.
8*4(2x-1)-1=7
x=1/2
What is the solution to the equation
(2x-3)/(x-1) = (8x+1)/(4x+5)
2.8
Solve the inequality to find the range of x values that make the equation true.
4l2x-5l-9 < -1
1.5 < x < 3.5
x2-100y2
(x-10y)(x+10y)
What is the distance to the nearest hundredth of a unit between the two zeros that are closest to each other
h(x)=4x3-5x2-23x+6
2.25
Rewrite as a logarithm
5*18(4x+2)+2=27
log18(5)=4x+2
Which Function has a point of discontinuity at x=3 when graphed
f(x) = (x+3)/x2
or
f(x) = (x+2)/(x2-9)
f(x)= (x+2)/(x2-9)
This equation results in a denominator of 0 when x=3 is used
In the absolute value formula
|x - h|+k
when |x - h| is in the formula the graph moves to the ____
the graph moves to the right
x3-343
(x-7)(x2+7x+49)
The diameter of a circle is 8 centimeters. A central angle of the circle intercepts with an arc of 12 centimeters. What is the radian measure of the angle?
3
What is the value of x to the nearest ten thousandth?
9-3x+2=48
**Hint** Use parenthesis to get the correct answer
0.0794
Which Expression is equivalent to
(x+7)/(x2+4x-21) divided by (x+5)/(x2+8x+15)
(x-3)/(x+3) or (x+3)/(x-3)
(x+3)/(x-3)
What is the formula when using absolute value word problems
|x - goal| < tolerance
Factor
3x2+7x-10
(x-1)(3x+10)
Which 3D shapes have a parallel cross section of a circle?
Cylinder
Sphere
Cone
The diameter of a circle is 10 centimeters. A central angel of the circle intercepts an arc of 20 centimeters. What is the radian measure of the angle.
4
Martha paints a room in 4 hours and Jaime paints the same room in 7 hours. How long does it take them to paint the room together?
Round to the nearest hundredth.
2.55 hours