Graph Transformations
Only after f has done its job do you add d to get the new function f(x) + d. 67. ') g. Page 2. Because
math1414-transformations-of-functions.pdf
function f (x) = x. 2 . Step 2: Now that we know the library function we will be using we need a set of points from the graph of f (x) = x. 2 to work with.
AP Calculus AB Sample Student Responses and Scoring
e ? ? ? ? ? ?. ?. = ?. = The slope of the line tangent to the graph of f at. 3. 2 x e ?. ?. 2?. 2 e ?. The absolute minimum value of f on 0. 2 x.
Posltlve +
(E) x = 2 is a vertical asymptote of the graph of f. The graph of a differentiable function f is shown above. ... 1(oJ: I ~ (01) ~ (I/O) ~ 5(1)=0. 7.
1.7 Transformations
Suppose we wanted to graph the function defined by the formula g(x) = f(x)+2. Let's take a minute to remind ourselves of what g is doing. We start with an input
AP Calculus Exam Prep Assign13KEY
A) Find the maximum area of a rectangle that has two vertices on the x-axis and two vertices on the graph of f. Justify your answer. A = lw = 2x. ( )e x2. dA dx.
Functions and Their Graphs Jackie Nicholas Janet Hunter Jacqui
Sketch the graph of f(x)=3x ? x2 and find If y = x2 + 2x and x = (z ? 2)2 find y when z = 3. b. Given L(x)=2x + 1 and M(x) = x2 ? x
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Write a rule for g described by the transformations of the graph of f. 7. f(x) = x²; vertical stretch by a factor of 2 and a reflection in the x-axis followed
AP Calculus AB Sample Student Responses and Scoring
7. 6. I. 5. I. A. I. 3. I l J. . J. -1 I. . -s-4 -3 -2 Ao 1 2 3 4 5 6 t 11_2. ._ I. -3. I. I. X. Graph of g. 3. The graph of the continuous function g
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Unauthorized copying or reuse of any part of this page is illegal. 2. If ƒ (x) = x³ ? x² + x ? 1 then ƒ'(2) = (A) 10. (B) 9. (C) 7 f'= 3x²-21.
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