MATH 115 LESSONS 1.1-1.6 EXAM QUESTIONS ANSWERED
CORRECTLY LATEST UPDATE 2026
decreasing - Answers function is ____ if its values decrease as X increases
increasing - Answers function is ____ if its values increase as X increases
range - Answers the set of all possible outputs (y values) for a function
range example - Answers P=4s 0<P<infinity;
if restricted to 16: 0<P<16
domain - Answers the set of all possible inputs (x values) for a function
domain example - Answers P=4s 0<s<infinity
if restricted to 16: 0<s<4
function - Answers a rule which takes numbers as inputs and assigns each to a single
output number
function example - Answers (1,2)(2,3)(3,4)
monotone - Answers function is ____ if it is is always increasing or decreasing
exponential decay (in terms of a, k) - Answers k<0; 1-%,0<a<1
directly proportional - Answers y is ___ proportional to x if y=ks for some constant k
directly proportional example - Answers y=4x
exponential decay in terms of a, k - Answers a>1, 1+%, k>0
exponential function - Answers function which has a common ratio of outputs for
equally spaced inputs
exponential function example - Answers f (x) = 2^x
inversely proportional - Answers y is ___ proportional to x if y=k(1/x)
inversely proportional example - Answers y=(50/x)
equation for exponential function with base a - Answers P=P0a^t
P0 - Answers initial quantity
a - Answers common ratio
equation for exponential function with base e - Answers P+P0e^kt
k - Answers continuous growth rate (need to divide by 100 if given %)
increasing / decreasing - Answers a function is _____ if it _______ as x increases
concave up - Answers a function is ______ if its graph bends upward as we move
from left to right
a line is . . - Answers neither concave up nor concave down
positive exponential functions are. . . - Answers concave up
concave down - Answers a function is concave _____ if its graph bends downwards
as we move from left to right
half - life - Answers the amount of time it takes fro an exponential decay function to
be half its original amount
half-life equation - Answers (1/2)P0=P0a^t; (1/2)=a^t
doubling time - Answers the amount of time it takes for an exponentially growing
quantity to double
doubling time equation - Answers 2P0=P0a^t; 2=a^t
horizontal asymptote - Answers the value that y approaches as x becomes very large
or very negative
horizontal asymptote for exponential decay function - Answers a<1 but cannot be
less than 0 so Ha @ y=0
how to get initial value for exponential function - Answers just put 0 in for x
CORRECTLY LATEST UPDATE 2026
decreasing - Answers function is ____ if its values decrease as X increases
increasing - Answers function is ____ if its values increase as X increases
range - Answers the set of all possible outputs (y values) for a function
range example - Answers P=4s 0<P<infinity;
if restricted to 16: 0<P<16
domain - Answers the set of all possible inputs (x values) for a function
domain example - Answers P=4s 0<s<infinity
if restricted to 16: 0<s<4
function - Answers a rule which takes numbers as inputs and assigns each to a single
output number
function example - Answers (1,2)(2,3)(3,4)
monotone - Answers function is ____ if it is is always increasing or decreasing
exponential decay (in terms of a, k) - Answers k<0; 1-%,0<a<1
directly proportional - Answers y is ___ proportional to x if y=ks for some constant k
directly proportional example - Answers y=4x
exponential decay in terms of a, k - Answers a>1, 1+%, k>0
exponential function - Answers function which has a common ratio of outputs for
equally spaced inputs
exponential function example - Answers f (x) = 2^x
inversely proportional - Answers y is ___ proportional to x if y=k(1/x)
inversely proportional example - Answers y=(50/x)
equation for exponential function with base a - Answers P=P0a^t
P0 - Answers initial quantity
a - Answers common ratio
equation for exponential function with base e - Answers P+P0e^kt
k - Answers continuous growth rate (need to divide by 100 if given %)
increasing / decreasing - Answers a function is _____ if it _______ as x increases
concave up - Answers a function is ______ if its graph bends upward as we move
from left to right
a line is . . - Answers neither concave up nor concave down
positive exponential functions are. . . - Answers concave up
concave down - Answers a function is concave _____ if its graph bends downwards
as we move from left to right
half - life - Answers the amount of time it takes fro an exponential decay function to
be half its original amount
half-life equation - Answers (1/2)P0=P0a^t; (1/2)=a^t
doubling time - Answers the amount of time it takes for an exponentially growing
quantity to double
doubling time equation - Answers 2P0=P0a^t; 2=a^t
horizontal asymptote - Answers the value that y approaches as x becomes very large
or very negative
horizontal asymptote for exponential decay function - Answers a<1 but cannot be
less than 0 so Ha @ y=0
how to get initial value for exponential function - Answers just put 0 in for x
