Functions
The term defined as: each x (input) is assigned to exactly one y(output) and can be represented as a graph, table, or equation.
What is a function?
Referring to radicals and denominators, what are two things that affect domain?
What is the expression underneath a radical must be positive, and denominators must not = zero?
Find the slope of the line through the points (-3,5) and (4,9).
What is 4/7?
Define a scatterplot
Define the word "maximum" as it relates to mathematics
What is the highest point on the graph?
The best viewing window for the function: f(x) = 18x^2 - 47
A. [-15,15] x [-60, 10]
B. [-10, 10], [-10, 10]
C. [0, 10], [-10, 0]
What is choice A?
The independent variable in the equation : t = x2/ x+ 3
What is x?
Find the value of x so that the points (x,3) and (5, 9) has a slope of 2.
What is 2?
Plot the scatter plot for this chart: (8,23), (20,25), (26, 32), (27, 33), (29,29), (34,35). If there is any line correlation is it positive or negative? Strong or weak?
Strong, positive correlation
What is the difference between a local minimum and a minimum?
The sketch of the equation y= 1/3 x3 - 2x -4 and the best viewing window.
What is (#1 graph) and standard window?
The solution to the function g(x) = √ x / x-3 for g(a)
What is √ a/a-3
A sky diver jumps out of plane from an altitude of 600ft and is descending at a constant rate of 17ft every 3 seconds. Write the equation of this line.
What is y= -17/3x + 600?
The equation y=9.23x + 5.28 is a linear regression for some set of (x,y) data. Use the value of x1 = 0 to predict a value for y1 when x = 5.5.
Without using a calculator, come to the board and draw the following graphs.
y= 1/x
y= |x|
Write the equation that represents this data set.
x : -2, 1, 0, 1, 2
y: -1, 1, 3, 5, 7
What is y = 2x + 3?
The domain and range of f(x) = √ x + 5
What is D: [-5, ∞ ], R [0, ∞ ]
Find the equation in point slope form of t he line passing through the point (7,12) with the slope of 13/5. Simplify your answer to standard form.
What is y - 3.5 + 30/5
Use the ordered pairs to graph a scatter plot. Then determine the linear regression equation. (19,22), (21,23), (24,25) (27,28) (29,31), (31,28), (34, 32), (38,34) (43,39).
What is y= 0.68x + 9.0125
What is a point of inflection?
What is the point of inflection is the point where a line goes from concave up to concave down.
Out of the following options, which choice is an ordered pair that is a solution to this equation:
2x + 3x = 8
A. (1,2)
B. (2,1)
What is choice B, (2,1)?
The domain and range of g(x) = |x-1| - |x+2|
What is D= (-∞ , +∞ ), R ( -3, 3)?
Find the equation of the line that passes through the points (-1,2) and (2,5). Write this equation in standard form.
What is x-y+3 = 0?
True or false: If an equation of the line is y= 2x +13, we can say that if there is change of 5 units in x, there is a change of 10 units in y.
True
In the equation y = √ x, where is the point of inflection? And why?
What is there is no point of inflection because √ x never transitions to concave down?