Int Math 2 Vocabulary Linear nonlinear increasing decreasing rate of change growth rate domain range continuous discontinuous discrete relation function inverse function inverse of a ID: 603570
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Slide1
Functions Unit Review
Int. Math 2Slide2
Vocabulary
Linear, non-linear, increasing, decreasing, rate of change, growth rate, domain, range, continuous, discontinuous, discrete, relation, function, inverse function, inverse
of a
function, composition of functions, exponential, quadratic, piecewise, absolute value, step, square root, explicit equations, recursive equations, vertical line test, horizontal line test.Slide3
Compare and contrast each set of terms
continuous, discontinuous,
discrete
relation,
function
inverse function, inverse
of a
function, composition of
functions
linear,
exponential,
quadratic
piecewise, absolute value, step, square
root
explicit equations, recursive
equations
rate of change, growth
rate
domain,
range
vertical and horizontal line testsSlide4
Use precise vocab to describeSlide5Slide6
The cost of tolls on the New Jersey Turnpike is based upon the number of miles traveled on it. If you travel 95miles or less the cost is an initial fee of $.50 and $.10 per mile. After 95 miles the cost per mile drops to $.05 . Determine a function that models the total cost of driving on the Turnpike.
Sketch a graph of the scenario.
Determine my cost if I get on the Turnpike at mile marker 60.5 and get off at 93.4.
Determine the cost to drive the full 112 miles on the Turnpike.
How far can I get on $2.50.Slide7
Determine inverse of functions and note if it is an inverse function
{
(9, 2) (5, 7) (6, 2)
}
Y =
Graph y = 4x + 7 and its inverse
Slide8
Testing for inverse functions
What are some ways we can determine if a function’s inverse is a function?Slide9Slide10
Use composition of functions to determine if the set are inversesSlide11
Identify the parent function and describe the transformations of the following
functions. Graph each.
a. a(x)=3x
2
+1 b. b(x)=5x+4
c. c(x)=|3x|-6 d. d(x)=
+ 2
f. f(x)= (x+5)
1/2
+2
Slide12
Graph using transformationsSlide13
Determine 2
functions that describe the following graphSlide14
Write a
linear and exponential explicit and recursive function
that uses the following points.
(0, 1) (1,
8)
Justify why each function works.Slide15
Determine a quadratic that will pass through (5,7) and (2,10)Slide16
Determine a recursive and explicit
The population of Kansas city grows by 3% each year. It is currently at 154,872. Model total population by number of years passed.
A photographer charges $150 for a 1 hour session and $1.35 per print. Model total cost given number of prints purchased.