Order of Operations/Evaluating
Evaluate.
3(10-2)+4^2
40
Write the polynomial in standard form.
6x^2-3x^4+x-7
What is the difference between maximums and minimums?
Maximums are the hills or high points. Minimums are the valleys or low points.
Solve.
18=3(3x-6)
x=4
Describe the transformations of the function.
f(x)=1/2(x-4)^2-1
Right 4
Down 1
Compress by 1/2
Let x=4 and a=-2. Evaluate.
2(x-1)-3a
12
Classify the polynomial.
-x^3-6x^2+3
Cubic trinomial
x-intercept crosses/touches the x-axis.
y-intercept crosses/touches the y-axis.
Solve.
-p-4p>-10
p<2
y=-2x+3
y-intercept: (0,3)
Let f(x)=-4x+6.
Find f(-2).
14
Add the polynomials.
(-4n^2+3n+7)+(7n^2+5n-6)
3n^2+8n+1
Describe how to find the domain and range of a graph.
Domain: L to R
Range: B to T
(,) if an open circle or infinity
[,] if a closed circle
Graph y=-2/3x-3
Check with Ms. P
Where would you shade the solution set? (above or below)
Is it a dashed or a solid line?
y>1/2x-4
Above and dashed line
Let g(x)=4x^2+2x-1
Find g(-3).
29
Multiply.
-3t^2(3t^2-4t+5)
-9t^4+12t^3-15t^2
Define a function.
Each element in the domain is paired with exactly one element in the range.
Passes VLT, one arrow from each domain element in mapping diagram, no x repeats
Calculate the slope that passes through (-5,1) and (0,-3)
-4/5
Solve the system by substitution.
7x+y=-3
5x+4y=-35
(1,-10)
Let f(x)=-4x+6
Find x when f(x)=-6.
Multiply the binomials.
(8m+7)(2m-3)
16m^2-10m-21
Is this a function or a relation? Why?
The siblings in Ms. P's family are the input and the output is their birthdays.
Function. Each siblings has only 1 bday.
Write the equation of the line that passes through (-2,4) with a slope of 2 in point-slope and slope-intercept form.
y-4=2(x+2)
y=2x+8
Solve the system by elimination.
-3x+10y=17
3x+7y=17
(1,2)