Math 1113 Final test questions with 100- correct answers.

If (-2,4) is a point on a graph that is symmetric with respect to y-axis, then the point _________ is also on the graph. (2,4) If the point (9,-14) is a graph of a function f, then f(4) = -14 The graph of y=f(x+5)is found by horizontally shifting the graph of y=f(x) five units to the ____________________ left If f(2)=12 and g(2)=4 the (g-f)(2)= 4-12=-8 T/F A line with undefined slope is perpendicular to every line with slope zero. True T/F If (1,2) is a point on a line with slope 4, then so is the point (2,4). False T/F If (3,6) and (5,22) are points on the graph of, then the average rate of change of f as x changes from 3 to 5 is 14. False T/F The function f(x)=x^3+x+1 is an odd function. False. It is neither. T/F If f(x)=2x and g(x)=((1)/(2x)), then FoG(x)=x False T/F Every rational function has at least one vertical asymptote. False A rational function can be expressesed in the form f(x) / g(x). Each f and g are polynomials If z=a+bi is a zero of a polynomial function, then _____________ is also a zero of the polynomial. z=a-bi The number of positive zeros of a polynomial = _________ of sign of the polynomial p(x). change The factor theorem states that x-a is a factor of a polynomial p(x) if and only if p(a)=0 T/F The only possible ration zeros of p(x)=3x^4-5x^2+2x+1 are +- 1 and +-3. False The zeros of a polynomial function y=f(x) are determined by solving the equation __________________. f(x)=0 T/F The graph of f(x)=-2-x+x^2 opens down. False Find the cordinate of the vertex of y+-2-x+x^2. x=.5 The graph of f(x)=3^x has y-int of ________ and x-int of _________. (0,1) and no The exponential function f(x)=a^x is increasing if _____ and is decreasing if _____. a>1 and 0<a<1 T/F For the equation y=a^x(a>0,a/=/ 1), y-> infinity as x -> infinity true T/F The graph of y=e^x+1is obtained by shifting the graph of y=e^x horizontally one unit to the left. False The log form y=log(a)x is equivalent to the exponential form _________________. a^y=x a^log(a)x= ___________. Log(a)a^x= _____________. x and x T/F a Log curve always has two horizontal asymptotes true