Survey of Calculus I Exam 1 Questions with Verified Answers

Survey of Calculus I Exam 1 Questions
with Verified Answers
Linear Function - ANSWER-F(x)=mx+b

Quadratic Function - ANSWER-F(x)=ax^2+bx+c

Exponential Function - ANSWER-F(x)=ab^x

Logarithmic Function - ANSWER-F(x)=Logbx=y or b^y=x

Finding the slope of a line - ANSWER-y-y^1=m(x-x^1)

Exponential Function in General Form - ANSWER-A(t)=Pb^t

(Pb^t) The constant P represents - ANSWER-y-intercept

(Pb^t) The constant b represents - ANSWER-value of y is multiplied by b for every one
unit increase of t

b>1 - ANSWER-exponential growth

b<1 - ANSWER-exponential decay

2nd y-value divided by 1st determines: - ANSWER-if value (rate) is the same across the
data, then the function is exponential

If a function increases at a percent then it is a _____ function - ANSWER-exponential

If a function increases at a certain constant quantity, then it is a _____ function -
ANSWER-Linear

Compound and Continuous Growth - ANSWER-A(t)=P(1+r/m)^(mt)

A(t) represents ______ in a Compound and Continuous Growth function - ANSWER-a
principle amount P, compounded M times per year, at a rate r given as a decimal

Continuously compounded Growth - ANSWER-A(t)=Pe^(rt)

A(t) represents ________ in a Continuously compounded Growth function - ANSWER-a
principle amount P, compounded continuously, at a rate r given as a decimal

General exponential (annual growth) - ANSWER-A(t)=P(1+r)^t