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29 Cards in this Set
 Front
 Back
a^m × a^n=…

a^(m+n)


a^m / a^n=…

a^(mn)


(a^m)^n=…

a^(m×n)


a^n × b^n=…

(ab)^n


a^m / b^m=…

(a/b)^m


a^(m/n)=…

(a^(1/n))^m


What is the general form of a simple exponential function?

f(x)=a^x


For very large positive values of x, what value does y approach?

Infinity


For very large negative values of x, what value does y approach?

Zero


Name of the line that a function gets increasingly close to but never reaches?

Asymptote


For all the graphs y=a^x what is the asymptote?

The asymptote is the xaxis


For all the graphs y=a^x what is the yintercept?

The yintercept is always (0,1)


When the base is greater than 1 the function…

Increases


When the base is between the values 0 and 1 the function…

Decreases


What is the value of 'e'?

e =2.718….


For y=10^x how can you express the value of x?

x=log y


What is the base of log?

The base is 10


What is the base of ln?

e


log base a of a^x=…

x


a^(log base a of x)=…

x


What is the logarithm of a negative number?

It has no real values


What is the logarithm of zero?

It has no real value


The logarithm of a product (log base a of xy) is…

the sum of the logarithms( log base a of x + log base a of y)


The logarithm of a quotient (log base a of x/y) is…

the difference of logarithms ( og base a of xy)


The logarithm of a reciprocal (log base a of 1/x) is…

the negative of the logarithm (log base a of x)


The logarithm of a exponential (log base a ox x^p) is…

the multiple of the logarithm (p log base a of x)


What is the logarithm of 1?

zero


What is the change of base rule?

log base b of a= (log base c of a)/(log base c of b)


For y=log base a of x where does the graph lie?

To the right of the yaxis
