MAC 1105 Test 3 Practice Questions And Accurate Answers.

y-axis reflection that affects domain D: (-infinity, 0]; R: [0, infinity); y=sqrt(-x); y-intercepts fixed - correct answer y=f(-x) Multiply x values by 1/#; affects domain - correct answer y=f(#x) Multiply y values by #; affects domain - correct answer y=f(1/#x) Horizontal shift left #; affects domain - correct answer y=f(x+#) Horizontal shift right #; affects domain - correct answer y=f(x-#) x-axis reflection; affects range D: [0, infinity); R: (-infinity, 0]; y=-sqrt(x); x-intercepts fixed - correct answer y=-f(x) Multiply y values by #; affects range - correct answer y=#f(x) Multiply y values by 1/#; affects range - correct answer y=1/#f(x) Vertical shift up #; affects range - correct answer y=f(x)+# Vertical shift down #; affects range - correct answer y=f(x)-# D: [0, infinity); R: [0, infinity); y=sqrt(x) - correct answer y=f(x) 1. Know that R=px 2. Solve for p 3. Substitute in for p so that only x remains - correct answer x=-#p+# ; 0or=xor=# ; Express the revenue R as a function of x. 1. Know that R=px 2. Solve for x 3. Substitute in for x so that only p remains - correct answer p=-#x+# ; 0or=por=# ; Express the revenue R as a function of p. Vertex: (-b/2a, f(-b/2a)); a0 = opens up or a0 = opens down; y=0 to find x-intercepts or x=0 to find y-intercepts; b^2-4ac to find how many x-intercepts. - correct answer For f(x)=ax^2+bx+c Plug x-coordinate of the graph into original equation - correct answer To find max/min 1. Use formula x=-b/2a 2. Vertex: (-b/2a, f(-b/2a)) 3. Min: -b/2a; Max: f(-b/2a) - correct answer To find max/min of quadratic function D: (-infinity, infinity); R: [0, infinity) - correct answer f(x)=x^n where n is an even positive integer, nor=# Make a single fraction on one side and 0 on the other - correct answer To find # of pp needed to solve inequality equation 1. Change f(x) to y 2. Solve for x 3. Interchange x and y (where y is, write x and vice versa) 4. Change y to f^-1(x) - correct answer Given a function, finding the function rule f