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34 Cards in this Set
- Front
- Back
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Domain is
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for x
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Range is
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for y
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When is it a function of x?
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When it passes the vertical line test.
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When you evaluate things like f(2), f(-2), f(a), f(-a), f(a+1), for f(x) = 3x^2 -x +2 what do you do?
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you plug whatever is in parenthasis for f(___) into the x part of the problem and then solve.
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Evaluate
f(x)=4+3x-x^2 [f(3+h)-f(3)]/h |
You solve each part seperately and plug it all in. So find f(3+h) and f(3) and then put it into the equation of
[f(3+h)-f(3)]/h |
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How do you find the domain?
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You solve for the bottom to where it can't = 0.
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What do you do when you find an expression?
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With a graph give you make a piece-wise answer. Find the slope and then use y-y1=m(x-x1) to find the line. Circles = roots.
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How to tell even, odd or neither?
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You plug (-x) into the x's of the problem. Even = original. Odd = -(original). Neither is if you get something completely different.
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Polynomial function
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y = x^2 + x +1 with a degree of 2
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Cubic function
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y = x^3 - x +1
y = x^4 - 3x^2 + x y = 3x^5 - 25x^3 + 60x |
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Power function
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y = x^n
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Root function
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y = x^(1/n)
y = √x |
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Reciprocal function
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y = x^-1
y = (1/x) |
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Rational function
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y = (2x^4 - x^2 +1)/(x^2 - 4)
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Algebraic function
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y = √(x^2 +1)
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Trigonometric functions
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y = sinx
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Exponential functions
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y = 2^x
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Logarithmic functions
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y = log3X
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Find least squares regression line
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use Lin Reg (ax + b)
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Shift the graph up
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y= f(x) +c
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shift down
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y = f(x) - c
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Shift right
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y = f(x-c)
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Shift left
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y = f(x+c)
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Reflect about the x axis
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y = -f(x)
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Reflect about the y axis
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y = f(-x)
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Stretch vertically
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y = cf(x)
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Compress vertically
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y = (1/c)f(x)
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f o g means
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g(x) goes into f(x)
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g o f means
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f(x) goes into g(x)
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When you have a graph with two graphs on it, what does f(g(2)) mean?
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You find g(2) and then the answer to that means f(answer).
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What does "Find all solutions of the equation correct to two decimal places" mean?
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You have to find to two equations by setting them equal to each other.
X^3-9X^2-4=0 ==> x^3=9X^2+4 Then find the intersection in the calculator. |
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What do you do when you have a graph and f(x)=Ca^x?
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You plug the points into x & y from the equation. Then you divide them byeach other to get rid of C. Take the root of the a to find the answer.
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logax=y
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a^y=x
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Evaluate log 8(5)
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ln5/ln8 = .773976
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