Graph
Functions
Polynomials
Transformations
Random Facts
100

Graph y=x3

Draw on board

100

What is the equation of this graph?


Pic 2

y=x2

100
Find the x-intercepts of the image.


Pic 1

-2,3,5

100
What is the transformation of this graph? Red is original.


pic3

-2

down 2

100

How many Exams are there for this course?

3

200

Draw the end behaviors of f(x)=-4x3+2x4+x-1

both sides up

200

Find the inverse of this function f(x)=9x-1

f-1(x)=(x+1)/9

200

For the polynomial f(x) = 7x2 - 4x5 + 11, this is the value of the degree

5

200

What flavor of smoothie does Dr. Salako like?

Banana Strawberry

300

Draw this quadratic function f(x)=-2(x-3)2+8

vertex:(3,8)

x-intercepts: 1,5

y-intercept:-10

300

Find the vertex and determine if it is a maximum or a minimum for the following function f(x)=-3x2+6x-13

(1,-10) maximum

300

Using synthetic division to divide (x4-5x2+4x+12) by (x + 2)


x3-2x2-x+6

300

How would I transform this graph if h(x)=(x+1)2-3

horizontal shift 1 unit left, vertical shift 3 units down

300

What other campuses does Dr. Salako teach at?

Our Lady of the Lake University

400

Use the given conditions to write an equation for the line in point-slope form and draw the graph.

Slope=4, passing through (-4,8)

y-8=4(x+4)

(-6,0)

(0,24)

400

Let f(x)=2x-1 and g(x)=x2+x-2 Find fg(x)

fg(x)=2x3+x2-5x+2

400

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero.

f(x)=5(x-2)2(x+4)3

x=2 > the graph touches the x-axis and turns around


x=-4 > the graph crosses the x-axis

400

When does your SI leader have office hours?

Mondays

500

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the function's domain and range.

f(x)=x2-6x-16

(-2,0) (8,0) (3,-25)

500

Let f(x)=√(x+3) and g(x)=√(x-2). Find the domain of f+g

[2,∞)

500

Use the Rational Zero Theorem to list all possible rational zeros for the given function.


f(x)=3x4-2x3+5x2-8x+6

±1,±2,±3,±6,±1/3,±2/3

500

Where and what did Dr. Salako get his Bachelor's degree

Engineering (Chemical Engineering)

University of Birmingham, England, UK

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