Chapter 6
Evaluate y=-4(5)^x for x=2
x=-100
Write in standard form. What degree is the polynomial? Then, classify it by number of terms.
6x^2+2x^4-x
2x^4+6x^2-x
Degree 4 Trinomial
Find the vertex and axis of symmetry
y=-9x^2-18x-1
(-1,8)
x=-1
Simplify
sqrt(4x^3)
2xsqrt(x)
Solve
sqrt(a-3)+5=9
a=19
Write a function after t years:
$2000 deposit that earns 5% annual interest compounded quarterly
2000(1+.05/4)^4*t
Find the difference
(y^2-4y+9)-(3y^2-6y-9)
-2y^2+2y+18
Does the function have a maximum or a minimum? How do you know?
3x^x-18x+15
Maximum, the a-value is positive
Simplify
sqrt(4/49)
2/7
Solve
sqrt(3g+1)=sqrt(7g-19)
g=20
Solve 3^x=243
x=5
Find the product
(y+6)(y+4)
y^2+10y+24
Tell me everything about the following equation (Shrink/stretch, vertical shift, horizontal shift, etc)
-1/3(x+3)^2-2
Shrink (fat), shift to the left by 3, shift down by 2, minimum vertex (-3,-2, axis of symmetry x=-3
Simplify
sqrt(a^5/49)
(a^2 sqrt(a))/7
Find the inverse
y=-2x+5
y=(x-5)/-2
Is the following function growth or decay? What is the percent rate of change?
y=4(.8)^x
Decay, 20%
Factor
6d^3-21d
3d(2d^2-7)
Find solutions (zeros) to the equation:
y=(x+2)(x-6)
x=-2,6
Simplify
sqrt(3)-2sqrt(2)+6sqrt(2)
sqrt(3)+4sqrt(2)
Find the mean, median and mode:
12, 8, 15, 10, 8, 14, 9, 8, 16, 10
Mean: 11
Median: 10
Mode: 8
Solve
7^(x-5)=49^x
x=10
Factor
m^2-49
(m-7)(m+7)
Do the following points represent a linear, exponential, or quadratic function?
(-4,7) (-3,4) (-2,1) (-1,4) (0,7)
Quadratic (U-Shape)
Solve
x^2-55=26
x=9,-9
Make a box and whisker plot for the following data:
8, 12, 15, 10, 18, 14, 20, 16, 11
Min: 8
Q1: 6
Median: 10
Q3: 14
Max: 16