MATH 110 Exam Questions And Answers Verified 100% Correct

MATH 110 Exam Questions And Answers Verified 100% Correct 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. Non linear Regression - ANSWER a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination of the model parameters and depends on one or more independent variables. Function notation - ANSWER Function notation is a method of writing algebraic variables as functions of other variables. Logarithmic Functions - ANSWER Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = a x is x = a y . The logarithmic function y = loga x is defined to be equivalent to the exponential equation x = a y Horizontal Shift - ANSWER Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally. Definition. For the base function f (x) and a constant k, the function given by. Compound Interest - ANSWER Compound interest is interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously-accumulated interest. Exponential Functions - ANSWER An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828. 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 - ANSW ER 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.