Academic Supports for Students at Richard Montgomery High School
See your counselor and teachers for help in all school subjects: Your counselor is a great resource to help you get organized,
improve your study skills, and create an academic improvement p
UseNUMINTtoestimatetheareaunder f ( x ) = x on[0,1].
UseNUMINTtoestimatetheareaunder f ( x ) = cos x on [ 0, ] .
3. Giventheequation f ( x) = 2 x x on [ 0,2] :
1. Findtheapproximateareaunder f ( x ) = x on[0,5]usingLRAM5,RRAM5,and
2. Findtheapproximateareaunder f ( x ) = 3 x x on[0,3]usingLRAM6,RRAM6,and
A line has a slope of 2 and goes through the point (1,-3).
Write the equation of the line in
(a) Point-slope form
(b) Slope-intercept form
Objective: Students will be able to use the
properties of exponents to manipulate
(a) x 2 + 2 x 15 = 0
(b) x 2 + 2 x 13 = 0
Factoring and Zeros
Objective: Students will be able to find the
zeros of a polynomial.
Factoring and Zeros Review
How do we interpret the solutions to the warm up?
x 2 + 2x
A certain drug leaves the body at a continuous rate of 12% per hour.
(a) Write a formula for the percent, A, of caffeine in the body t hours
after taking it.
(b) Using your calculator, sketch a graph the function from part (a).
(c) Use the graph
(a) What is the equation of the
persons height as a function
of their age?
(c) What is the meaning of the
Height of Person (in)
(b) What is the meaning of the
Age in years
(d) During what intervals
A town has a population of 1000 people at time t = 0. In each of the
following cases, write a formula for the population, P, of the town as a
function of year t.
The population increases by 50 people a year.
The population increases by 5% each ye
(a) Given the exponential function
y = 5 2 x fill in the table and sketch
(b) How will the graph change if
(i) the 5 is changed to 6?
(ii) the 5 is changed to 10?
(iii) the 2 is changed to 3?
(iv) the 2 is changed to 5?