A linear function is a function that _____________ a line
Straight.....If the slope is negative, then the line goes down, slope positive, line goes down from left to right.
A quadratic function
A function in which the greatest power of the variable is 2. It points down if the quadratic coefficient is negative, up if it is positive.
Exponential function
y=ab^x, where the variable is in the exponent. IF b>1, then it gets bigger and if 0<b<1 then it gets smaller from left to right
An absolute value function is a function
y=|x| where it is shaped like a V.
A square root function is a function
Where y=(x)^(1/2) is the exponential form of the equation. You cannot have an X that is negative or the outputs would be undefined,
Rational function is a function that
is a fraction containing variable expressions in the numerator and denominator, where the denominator can never be zero or the function would be undefined.
Cube root functions
are function with an x under a radical with 3 being the index or root. It looks like a cube root graph rotated to the right.
Cubic Function
Is y=x^3. The highest exponent can only be three.
logarithmic function
a function of the form f(x)=logbX, where b?1 and b>0, which is the inverse of the exponential function f(x)=b^X
Sine Function
This is a trigonometric function.
D: (-?,+?)
R: [-1,1]
Where y=sin(x)
Cosine function
A Trigonometric Function
D: (-?,+?)
R: [-1,1]
The tangent Function
The ratio of the opposite and adjacent legs with respect to a specified acute angle of a right triangle.