AROC
What term measures how much a function changes between two points compared to the change in the input values.
AROC
This term describes a graph that bends upward like a cup, where the slopes are increasing.
Concave Up
What is the term that represents the highest exponent in a polynomial.
Degree
What function written as one polynomial divided by another polynomial?
Rational Function
A triangular pattern of numbers where each number is the sum of the two numbers directly above it, used to find binomial coefficients.
Pascal’s Triangle
The average rate of change of a function is represented geometrically by this type of line.
Secant Line
What is the concavity of this?
x->-∞ x->∞
F(x)=∞ F(x)=0
Concave Up
A polynomial with exactly two terms is called this.
What is a binomial?
A student simplifies a rational function and notices that after canceling a common factor, the graph still has a point missing at a specific x-value where the original function was undefined. What is the term called?
Hole
What is Mrs. Abee's favorite color
Purple
A gym membership cost $120 in January and $180 in April. Assuming the increase was at a constant rate, find the average rate of change in cost per month.
What is $20 per month?
What is the term where a point on a graph where the concavity changes from up to down or down to up.
Inflection point
This is the maximum number of turning points a polynomial with degree 5 can have.
What is 4?
A water tank is being drained. The amount of water left over time is modeled by a function where the denominator depends on time. As time increases, the graph approaches a vertical line that it can never cross. What is the term is called?
Vertical Asymptote
A polynomial function f is given by f(x)= x(x+3)(x-2)^2. What are all intervals in which f(x) <= 0?
The height of a plant was 8 inches at the start of the month and 23 inches 5 weeks later. Find the average rate of change in the plant’s height.
What is 3 inches per week?
If a graph is concave down on an interval, the slopes of the tangent lines are doing this.
Decreasing
A company models its yearly profit with a polynomial function. The graph crosses the x-axis at x=−2, x=1, and x=4. These values are called this.
Zeros/Roots/X-Intercepts
This term describes what value a function approaches as the input gets closer to a specific number or as it increases or decreases without bound, without necessarily reaching that value. What is the term?
Limit Notation
What is Mrs. Abee's son's name?
Jeremy
A car’s distance traveled is modeled by a function. Between hour 2 and hour 6, the car traveled 240 miles. What is the car’s average rate of change.
What is 60 miles per hour?
A company tracks its profits over time. At first, profits rise faster and faster, but after a certain point the profits are still increasing while rising more slowly each month. This describes a change in the graph’s concavity.
What is a change from concave up to concave down?
A rectangular garden has a length of x+4 feet and a width of x+2. The polynomial that represents the area of the garden is?
x^2+6x+8
What is the Horizontal Asymptote?
f(x)=(-5x^3+7x+27)/ (5x^3+67x+420)
y=-1
Use Pascal’s Triangle to find the coefficients of (x+y)3(x + y)^3(x+y)3.
Row 3 is 1, 3, 3, 1,
(x+y)^3=x^3+3x^2y+3xy^2+y^3