Linear Function
What is the slope?
y = 3/4x + 1
Slope is 3/4
Solve for y
3y = -15
-5
Simplify Radical:
√28
2√7
What is the vertex?
y = -x2 + 6x -9
(3,0)
What is the y-intercept of y=3(0.2)x
3
What is the slope?
(0, 0) and (2, 8)
What is 4?
-4x + 1 =21
x= -5
Simplify
3√6 - 4√6
-√6
What are the roots?
(x – 9)(x + 1) = 0
x=9 and x= -1
Is the following function and example of decay or growth?
f(x)=2(0.85)x
Exponential Decay
Solve for y
3x + 8y = 24
y= -3/8x +3
Solve for x:
7(2x - 4) = 42
x = 5
Simplify:
7x2 - 3a +20 - 4x2 + 2a
3x2 - a + 20
Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)=x2?
Right 3 and up 5
Does the following equation show growth or decay?
y=10,000*1.26x
Growth
What is the y-intercept?
y +3= 2(x – 6)
-15
Solve for b:
-11 + 3(b + 5) = 7
b = 1
(-2x3y5z4)2
4x6y10z8
Multiply the binomials
(x – 2)(x + 6)
x2 +4x -12
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
f(x)=400(1+0.03)x
What is the value of y in the function
y = 1/2 x + 10 when x = 24?
22
Solve for x:
2x -(3+4x) = 11
x = -7
−2x(−x2 +x3)+ 4x4
2x3+2x4
Describe the transformation:
f(x)=-2(x+3)2−2
-Reflect over the x-axis
-Vertical stretch
-Shift left 3
-Shift down 2
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
$361,223