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Inverse Proportion. Question 1: A is directly proportional to B. When A = 12, B = 3. Find a formula for A in terms of B. Find the value of A when B = 5. Find the value of B when A = 36. Question 2: C is directly proportional to D. When C = 125, D = 5. Find an equation for C in terms of D.
Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Worksheet by Kuta Software LLC. ©J a2]0e1H8a HKhuKtqa]wSNo`fetdwwa^rjet ILWLTCq.q ` IAclqlf Lr[itgkhFtGsx Wrteysbeurrvuehdl.s R aMKaGdxeH qwyietnhM wIbnTfWixnUi]tjea cAtlHgHe\b]rBaT e1W.
A linear function is a function of the form f ( x ) = ax + b . The graph of a linear equation is a graphical view of the set of all points that make the equation true. The graph of any linear function is a straight line. A linear function can be represented in two ways, standard form and slope-intercept form.
PRACTICE EXAM. The slope of the line is: -3. 3. The slope of the line is: -6. 0. Undefined. A line has a slope of and the point (-4, -5) exists on the line. Another point on the line is: (-6, -7) (-3, -4) (-1, -4) (1, -4) A line has points located at (a, 3) and (2, 9). What is the value of a if the slope is ? -8. -4. 3. 5.
understand the basic structure of functions and function notation, the toolkit functions, domain and range, how to recognize and understand composition and transformations of functions and how to understand and utilize inverse functions.
Functions of the form f(x) = ax+b are linear, and they are represented graphically by straight lines. The number a represents the gradient of the line, and the number b represents the y-axis intercept. Exercises 1. What is a linear function? 2. By drawing up a table of values, plot the following linear functions on the same axes:
7 Linear Functions Linear functions are functions that have straight line graphs, so: A linear function of x has the standard form f(x) mx c. Example The graph of y 2x 1 is a straight line with gradient m = 2 and y-intercept (0, –1). Example The function f(x) 2x 3(1 x) is a linear function of x because it can be rewritten as