Exponential Functions

Attributes

100

To be an exponential function, an equation must have a variable as the _____ of some known base.

What is an exponent?

200

The _____ of an exponential function is "all real numbers" unless otherwise stated.

What is domain?

300

This is the name of the line that an exponential function will never cross.

What is an asymptote?

400

This is the range of the following function: 

y=-2(3)^x

What is y<0?

500

This is the equation for the asymptote of the exponential function, y = 2^x-3+5

What is y=5?

Exponent Rules

100

If you raise anything to this power, it will equal 1.

What is the power of zero?

200

According to the product rule, if I multiply two things that have the same base, I would _____ the exponents.

What is add?

300

To get rid of a negative in an exponent, I need to rewrite the base as the _____.

What is reciprocal?

400

(6x⁵)/(3x³)

What is 2x²?

500

This is the cube of the seventh root of x written with fractional exponents.

What is x^3/7

Solving Exponential Equations

100

To solve for x in an exponential equation, we need both sides to have the same _____.

What is "base"?

200

If 64=4^x-3, then x is ____.

What is 6?

300

If 36^x = 6^3x, then x is ____.

What is 0?

400

If 2^3x-1 = 2^5x+7, then x is ____.

What is -4?

500

8^2x=16^x+3

x = 6

Transformations

100

What transformation maps the function y = 2^x to y = 2^x - 8.

A translation 8 units down.

200

What transformation maps the function y = 2^x to y = 2^x+3.

What is a translation 3 units left.

300

This transformation is caused by a negative a value in the function y = a(b)^x

What is a reflection over the x-axis?

400

These are the transformations made to the function f(x)=-2^x+1.

What are a reflection over the x axis and a translation up 1 unit?

500

This is the equation of an exponential function that has been translated 5 units left and 4 units up from the function y = 10^x.

What is y=10^x+5+4?

Math words that start with "c"

100

This is the name of the number multiplied by a variable in an algebraic expression

What is a coefficient?

200

These are the numbery numbers that aren't variables.  They never change.

What are constants.

300

This is what 2 angles whose sum is 90° are called.

Complementary

400

When 2 figures have the same angles and side lengths, they are said to be ____________.

What is congruent?

500

15 + 4i is an example of this type of number.

What is a complex number?