Attributes
To be an exponential function, an equation must have a variable as the _____ of some known base.
What is an exponent?
If you raise anything to this power, it will equal 1.
What is the power of zero?
To solve for x in an exponential equation, we need both sides to have the same _____.
What is "base"?
What transformation maps the function y = 2x to y = 2x - 8.
A translation 8 units down.
This is the name of the number multiplied by a variable in an algebraic expression
What is a coefficient?
The _____ of an exponential function is "all real numbers" unless otherwise stated.
What is domain?
According to the product rule, if I multiply two things that have the same base, I would _____ the exponents.
What is add?
If 64=4x-3, then x is ____.
What is 6?
What transformation maps the function y = 2x to y = 2x+3.
What is a translation 3 units left.
These are the numbery numbers that aren't variables. They never change.
What are constants.
This is the name of the line that an exponential function will never cross.
What is an asymptote?
To get rid of a negative in an exponent, I need to rewrite the base as the _____.
What is reciprocal?
If 36x = 63x, then x is ____.
What is 0?
This transformation is caused by a negative a value in the function y = a(b)x
What is a reflection over the x-axis?
This is what 2 angles whose sum is 90° are called.
Complementary
This is the range of the following function:
y=-2(3)x
What is y<0?
(6x5)/(3x3)
What is 2x2?
If 23x-1 = 25x+7, then x is ____.
What is -4?
These are the transformations made to the function f(x)=-2x+1.
What are a reflection over the x axis and a translation up 1 unit?
When 2 figures have the same angles and side lengths, they are said to be ____________.
What is congruent?
This is the equation for the asymptote of the exponential function, y = 2x-3+5
What is y=5?
This is the cube of the seventh root of x written with fractional exponents.
What is x3/7
82x=16x+3
x = 6
This is the equation of an exponential function that has been translated 5 units left and 4 units up from the function y = 10x.
What is y=10x+5+4?
15 + 4i is an example of this type of number.
What is a complex number?