Calculus Chapter 1
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| f(-x)=f(x) | even
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| f(-x)=f(x) | odd
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| A _____ f is a rule that assigns to each element x in a get D exactly one element, called f(x) in a set. | function
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| __ is the independent | Y
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| __ is the dependent | X
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| A Curve in the xy-plane is the graph of a function of x; f and only if no vertical line intersects the curve more than once | The vertical Line test.
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| What type of function is y=mx+b? | Linear function
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| What type of function is y=a(n)x^n+a(n-1)x^(n-1) ... a(2)x^2,a(1),a(0) | polynomial function
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| What type of function is y=ax^2+bx+c | quadratic function
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| What type of function is y=ax^3+bx^2+cx+d | cubic function
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| What type of function is (-b(+-)((b^2-4ac)^(.5)))/2a | quadratic formula
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| What type of function is y=x^a | power function
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| What type of function is y=(x)^(1/n) | root function
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| domain of y=(x)^(1/n) n=even | D: [0,inf)
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| domain of y=(x)^(1/n) n=odd | D: (-inf,inf)
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| What type of function is y=1/x | reciprocal function
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| What type of function is y=P(x)/Q(x) | rational function
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| What type of function is y=sin(x), cos(x) | trigonometric function
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| What type of function is y=a^x | exponential function
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| What type of function is y=log(a)x | logarithmic function
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| What happens when you y=f(x)+c? | shift c upward
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| What happens when you y=f(x)-c? | shift c downward
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| What happens when you y=f(x+c)? | shift c left
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| What happens when you y=f(x-c)? | shift c right
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| What happens when you y=cf(x)? | stretch vertically by c
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| What happens when you y=(1/c)f(x)? | compress vertically by c
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| What happens when you y=f(cx)? | compress horizontally by c
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| What happens when you y=f(x/c))? | stretch horizontally by c
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| What happens when you y=-f(x)? | reflect about the x-axis
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| What happens when you y=f(-x)? | reflect about the y-axis
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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