Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Begin b graphing the standard quadratic function f() =. Then use transformations of this graph to graph the given function. ) h() = ( + ) - ) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Given functions f and g, perform the indicated operations. ) f() = -, g() = - - Find f g. ) - - - - - +
) f() = - 7, g() = + Find fg. - - + + + - - ) Determine whether the equation defines as a function of. ) = - + is a function of is not a function of ) Use the graph of f to draw the graph of its inverse function. ) ) - - - - - - - - - - - - - - - - - - - -
Find a polnomial equation with real coefficients that has the given roots. ) i, -i + + = 0 - = 0 - - = 0 + = 0 ) Find the equation that the given graph represents. 7) 0 7) - -0 f() = - + f() = - - - f() = - + + f() = - - + Divide using snthetic division. ) - - - 9 - + - - - - - - - - 9 - - - ) Find the inverse of the one-to-one function. 9) f() = 7 + f-() = 7-7 f-() = 7 + f-() = 7-7 f-() = 7-7 9) Graph the function. + if -7 < ) f() = - if = - + if > ) - - - -
(, ) (, ) (, ) (, ) - - - - (-7, ) - (, -) (-7, -) - (, -) - - (, ) (, ) (, ) (, ) - - - - (-7, -) - (, -) (-7, ) - (, -) - - Use the given conditions to write an equation for the line in the indicated form. ) Passing through (, ) and perpendicular to the line whose equation is = + 7; point-slope form ) - = ( - ) = - - 9 - = - ( - ) - = ( + ) ) Passing through (, ) and parallel to the line whose equation is = - + ; slope-intercept form = - 7 = - - 7 = - + 7 = - - 7 ) Use Descartesʹs Rule of Signs to determine the possible number of positive and negative real zeros for the given function. ) f() = -9 + - + ) or positive zeros, or 0 negative zeros or 0 positive zeros, or negative zeros or 0 positive zeros, or 0 negative zeros or positive zeros, or negative zeros
Graph. ) = - - ) - - - - - - - - - - - - - - - - - - - -
Begin b graphing the standard absolute value function f() =. Then use transformations of this graph to graph the given function. ) g() = - + ) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Use the Leading Coefficient Test to determine the end behavior of the polnomial function. Then use this end behavior to match the function with its graph. ) f() = - - ) falls to the left and falls to the right falls to the left and rises to the right - - - - - - - - - - - - - - - - rises to the left and falls to the right rises to the left and rises to the right - - - - - - - - - - - - - - - - Solve the problem. 7) Solve the equation - + - = 0 given that is a zero of f() = - + -. 7), -, -,,,,, -, - For the given functions f and g, find the indicated composition. ) f() = + 7, g() = + (g f)() + 9 - - - + 9 - + 9 ) 9) f() = -, g() = - (f g)(),0 77, 9) 7
Use the verte and intercepts to sketch the graph of the quadratic function. 0) + = ( - ) 0) - - - - - - - - - - - - - - - - - - - - Find an nth degree polnomial function with real coefficients satisfing the given conditions. ) n = ; - and i are zeros; f() = 0 f() = + + + f() = - + + f() = - - - f() = + - - )
Identif the intervals where the function is changing as requested. ) Constant ) - - - - - - - - (-, -) or (, ) (-, 0) (, ) (-, 0) Evaluate the function at the given value of the independent variable and simplif. ) f() = - + ; f( - ) - + - + + + + - + ) Use the Rational Zero Theorem to list all possible rational zeros for the given function. ) f() = + 7 - + - ) ±, ±, ±, ±, ±, ±, ±, ±, ± ±, ±, ±, ±, ±, ±, ±, ±, ±, ±, ±, ±, ± ±, ±, ±, ±, ±, ±, ±, ±, ± ±, ±, ±, ±, ±, ±, ±, ± 9
Begin b graphing the standard square root function f() = given function. ) g() = - + -. Then use transformations of this graph to graph the ) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Find the zeros of the polnomial function. ) f() = + 7 - - 7 = -, =, = - 7 = 9 = - 7, = 7 =, = - 7, = 7 ) Find the zeros for the polnomial function and give the multiplicit for each zero. State whether the graph crosses the -ais or touches the -ais and turns around, at each zero. 7) f() = ( - )( - 7) 7), multiplicit, crosses -ais; 7, multiplicit, crosses -ais -, multiplicit, crosses -ais; -7, multiplicit, crosses -ais -, multiplicit, touches -ais; -7, multiplicit, touches -ais and turns around, multiplicit, crosses -ais; 7, multiplicit, touches -ais and turns around
Use snthetic division and the Remainder Theorem to find the indicated function value. ) f() = + + + 7 + ; f() - ) Find functions f and g so that h() = (f g)(). 9 9) h() = + 7 f() = 9/, g() = 7 f() = /, g() = 9/ + 7 f() =, g() = 9/ + 7 f() = + 7, g() = 9/ 9) Graph the polnomial function. 0) f() = + + - 0) - - - - - - - - - - - - - - - - - - - -