LATEST MATH 110 EXAM 100% SOLUTIONS QUESTIONS AND CORRECT ANSWERS

X and Y coordinates - ANSWER The x coordinate is a given number of pixels along the horizontal axis of a display starting from the pixel (pixel 0) on the extreme left of the screen. The y coordinate is a given number of pixels along the vertical axis of a display starting from the pixel (pixel 0) at the top of the screen. x-intercept - ANSWER the x-coordinate of a point where a line, curve, or surface intersects the x-axis. Slope of a line - ANSWER The slope of a line (also called the gradient of a line) is a number that describes how "steep" it is. the slope or gradient of a line is a number that describes both the direction and the steepness of the line. point-slope form - ANSWER the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form. linear equations - ANSWER an equation between two variables that gives a straight line when plotted on a graph. square function - ANSWER square map is a function defined on all real numbers that sends any real number to its square, i.e., its product with itself Interpolation - ANSWER Interpolation is an estimation of a value within two known values in a sequence of values. Extrapolation - ANSWER an estimation of a value based on extending a known sequence of values or facts beyond the area that is certainly known Range and Domain - ANSWER The domain is the set of all possible x-values which will make the function "work", and will output real y-values. The range is the resulting y-values we get after substituting all the possible x-values. Vertical shift - ANSWER A vertical shift is when the graph literally moves vertically, up or down. When a function shifts vertically, the y-value changes. Absolute Value - ANSWER the magnitude of a real number without regard to its sign. How far a number is from zero. difference quotient - ANSWER The difference quotient is used to calculate the slope of the secant line between two points on the graph of a function, f Quadratic Formula - ANSWER to solve quadratic equations (polynomial equations of the second degree). The general form of a quadratic equation is , where x represents a variable, and a, b, and c are constants, with . A quadratic equation has two solutions, called roots. parabola - ANSWER For a given point, called the focus, and a given line not through the focus, called the directrix, a parabo Function Linear or non linear Example: f(x) = x/2 ("f of x is x divided by 2") is a function, because each input "x" has a single output "x/2": - ANSWER A function is a special relationship where each input has a single output. composite functions - ANSWER Function Composition" is applying one function to the results of another: The result of f() is sent through g() It is written: (g º f)(x) Which means: g(f(x)) If we have two functions f(x) and g(x) we can define a composite function h(x)f(g(x)) vertex - ANSWER The common endpoint of two or more rays or line segments. A point where two or more straight lines meet. A corner. min and max - ANSWER The smallest value, The minimum of {14, 4, 16, 12} is 4. The largest value, The maximum of {14, 4, 16, 12} is 16. Axis of symmetry - ANSWER The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. Linear Equations with two variables - ANSWER an equation between two variables that gives a straight line when plotted on a graph. Triangle Inequality Theorem - ANSWER Any side of a triangle must be shorter than the other two sides added together. If it was longer, the other two sides couldn't meet! Inequality - ANSWER An inequality is like an equation that uses symbols for "less than"() and "greater than"() Interval Notation - ANSWER A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included. For example, [3, 8) is the interval of real numbers between 3 and 8, including 3 and excluding 8. Linear Regression - ANSWER linear regression is an approach for modeling the relationship between a scalar dependent variable y and one or more explanatory variables (or independent variables) denoted X.