Pre-Calc Exam 3 review - Pre-Calculus Exam 3(Section...

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Pre-Calculus Exam 3 (Section 7.1-7.2, 3.1 – 3.5) Review Section 7.1 * solve a systemby substitution method * solve a system by addition method Consistent system(has at least one solution) Inconsistent system (A false statement occurs. There is no solution.) Dependent system (has infinitely many solutions) * number of solutions to a systemof two linear equations Exactly one ordered pair. (Lines intersect at one point.) -Write solutions as an ordered pair No solution. (When solving for example, you get 0 = 12. This meanslines are parallel.) Infinitely many solutions. (When solving for example, you get 3 = 3. This means lines are identical.) - Write solutions in set builder notation } ) , {( b mx y y x + = * application problems (upriver/downriver, mixtures – solutions and cost per unit, using cost function and revenue function to find break-even point, etc.) Section 7.2 * Solve system of linear equations in three variables. Pair the equations are reduceit down to systemof two variables. Solve for those two variables and substitute into the original equations to find the remaining variable. *Application problems (i=prt (money), etc.) Section 3.1 * the exponential function 1 , 0 , ) ( = b b b x f x * evaluate exponentials using your calculator * graphing exponential functions and do transformations using a parent graph. An exponential function will have a horizontal asymptote . * application problems with compound interest and continuous compound interest. (Interest formulas do not need to be memorized…they will be given to you.) Section 3.2 * the logarithmic function 0 , 1 , 0 ), ( log ) ( = x b b x x f b * evaluate logarithms without a calculator by writing a logarithmic equation as an equivalent exponential equation. ( y x b = ) ( log and x b y = are equivalent equations) * remembera common logarithm is a log whose base is understood to be 10.
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