Inverse functions
Function Notation
Function Combination
Polynomials
Mixture
100
What is the notation for an inverse function?
What is f^-1(x)
100
If f(x) = 3x +1 solve f(2)
What is 7
100
What does the notation (f+g)(x) mean?
f(x) + g(x)
100
Define degree of a polynomial.
What is the high power of the polynomial.
100
When do you use on open and when do you use a closed circle on your piecewise graph?
An open circle is for greater than/less than and a closed circle is for greater than or equal to/less than or equal to.
200
What types of functions can you take the inverse of?
What is one-to-one functions.
200
If f(x) = 3x +1 solve f(-2)
What is -5
200
If f(x)= 2x and g(x) = 1-5x what is (f - g)(1)?
What is 6
200
What two parts of the equation tell us the end behavior of the polynomial?
What is the leading coefficient and the degree.
200
Find the average rate of change for the equation y=2x^2-1 between the x-values of 1 and 4
What is 10
300
Find the inverse for the function y=5x - 2
What is f^-1(x) = (x+2)/5
300
If f(x) = 3x +1 solve f(a)
What is 3a + 1
300
If f(x) = 3x - 1 and g(x) = 5x^2, solve: f(g(1))
What is 14
300
Put the equation in standard form: 3x - 2 + 4x^5 - 3x^2
What is 4x^5 - 3x^2 + 3x - 2
300
Find the equation for the secant line for the equation y=2x^2-1 between the x-values of 1 and 4
What is y=10x-9
400
Find the inverse for the function y = 2x^3 -6
What is the f^-1(x) = cube root of (x+6)/2
400
If f(x) = 3x -4 solve f(a+2). Be sure to simplify.
What is 3a +2
400
If f(x) = 5 - 2x and g(x) = 2x^2 - 3 solve (fg)(4)
What is -87
400
What is the leading coefficient and degree of: y = -4x^3 - 5x^4 + 9x - 2
Leading coefficient: -5 Degree: 4
400
Find the equation for the line through the points (1, 3) and (5, 19)
What is y=4x-1
500
Find the inverse for the function y = (3x-1)/(4x +5)
What is f^-1(x) = (-5x-1)/(4x-3)
500
If f(x) = 3x^2 -4 solve f(a+2)
What is 3a^2+12a+8
500
If f(x) = 5 - 2x and g(x) = 2x^2 - 3 solve g(f(4))
What is -53
500
Describe the end behavior of What is the leading coefficient and degree of: y = -4x^3 - 5x^4 + 9x - 2
As x approaches positive infinity y approaches negative infinity. As x approaches negative infinity y approaches negative infinity.
500
Describe the end behavior of y= -4x^3 + 2x -5
As x approaches positive infinity y approaches negative infinity. As x approaches negative infinity y approaches positive infinity.
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