Facts about Functions
Composite and Inverses
Graph Transformations
Graphing Calculator
Linear Function Word Problem
100
A relation is a function if each member of the ____________ relates to exactly one member of the range.
What is the domain?
100
The inverse of a function is found by doing what?
What is swtiching the x and y?
100
The simplest function of a family of functions is called the ___________
What is the parent function?
100
The intersection point, rounded to the nearest tenth, of the functions f(x) = 2x - 1 and g(x) = x2 -3x + 2 is ________.
What is (1.4, -.2)
100
The equation of a linear function is:
What is y = mx + b?
200
The following is an example of a __________ function. Domain: {-2, 0, 1, 3} Range: {4}
What is an onto function?
200
If f(x)=4x - 3, find the inverse.
What is f-1(x) = (x+3)/4 ?
200
In a linear function, if the slope of the line is negative, that means the graph does what?
What is Reflect over the y-axis?
200
The maximum point, rounded to the nearest tenth, of the graph of f(x) = -2x2 -4x + 3 is ________.
What is (-1, 5) ?
200
If the cost of a phone call is represented by the function C(m) = 5 +.08m where m is the number of minutes you are on the phone, the cost of a 35 minute phone call would be _______
What is $7.80?
300
If f(x)=-3x2+4, then f(-2) is?
What is -44?
300
If f(x) = 2x2 +x - 4 and g(x) = 8x + 1, find g(f(-1)).
What is -31?
300
If the vertex of a quadratic function is (-3, 4), the graph would shift how?
What is left 3 and up 4?
300
For the graph of f(x) = (2x-1)(x+3)(x-1), the y-intercept is ________.
What is (0,3)?
300
A plane is at an altitude of 15,000 feet and is decending at a rate of 1200 feet per minute. Create the function to represent the height, H, of the plane after t minutes.
What is H(t) = 15000 - 1200t
400
If you take a function and plug -x in for x then simplify it and all the signs remain the same, then the function is ________.
What is even?
400
If f(x) = (x + 3)/4x, find the inverse.
What is f-1(x) = 3/(4x-1) ?
400
The transformations of the absolute value function f(x) = -3|x - 1| + 4 would be ________
What is opens down, narrower, right 1, up 4?
400
For the functions f(x) = |x+2| - 3 and g(x) = x2 - 6, at what two points does f(x) = g(x). Round to the nearest tenth.
What is (-1.8, -2.8) and (2.8, 1.8) ?
400
The cost of a taxi ride is represented by the function C(x) = 2.75 + .30x where x is the number of miles traveled. If the cost of a ride was $8.15, how long was the ride?
What is 18 miles?
500
If f(x)=x2+3x-1, find f(x+3).
What is x2+9x+17?
500
If f(x) = 2x + 1 and g(x) = x2 - 1, find g(f(x+1)).
What is 4x2 + 12x +8 ?
500
The maximum and minimum of y = 2sin3(x - 90) - 4 would be _____
What is maximum -2 and minimum -6?
500
The zero(s) of the funtion f(x) = -3x3 +x2 + 2x - 2 are _______
What is (-1, 0) ?
500
You pull out the plug from the bathtub. After 40 seconds, there are 12 gallons of water left in the tub. One minute after you pull the plug, there are 10 gallons left. Assume that the number of gallons varies linearly with the time since the plug was pulled. Write the particular function expressing the number of gallons (G) left in the tub in terms of the number of seconds (s) since you pulled the plug.
What is G(s) = (-1/10)s + 16 ?
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