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PRECALC Graph Behavior Test
This deck covers key concepts related to graph behavior in precalculus, including intervals of increase and decrease, intercepts, asymptotes, function types, transformations, and continuity.
Find the interval(s) over which the function is increasing.
B. (-inf,-1)U(-1,0)
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Key Terms
Term
Definition
Find the interval(s) over which the function is increasing.
B. (-inf,-1)U(-1,0)
Find the interval(s) over which the function is decreasing.
C. (0,3)U(3,inf)
Find the x- and y-intercepts of the function.
C. x-intercept: none
y-intercept: (0,-4)
Find the asymptotes of the function. Select all that apply.
A. x=-1
C. x=3
E. y=0
Is the function even, odd, or neither?
A. even
Find the interval(s) over which the function is constant.
A. (-inf,-4)
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| Term | Definition |
|---|---|
Find the interval(s) over which the function is increasing. | B. (-inf,-1)U(-1,0) |
Find the interval(s) over which the function is decreasing. | C. (0,3)U(3,inf) |
Find the x- and y-intercepts of the function. | C. x-intercept: none
y-intercept: (0,-4) |
Find the asymptotes of the function. Select all that apply. | A. x=-1
C. x=3
E. y=0 |
Is the function even, odd, or neither? | A. even |
Find the interval(s) over which the function is constant. | A. (-inf,-4) |
Find the x- and y-intercepts of the function. | A. x-intercepts: (0,0),(3,0)
y-intercepts: (0,0) |
Use the graph to answer the question. | Find f(3)
A. f(3)=6 |
Which correctly describes the point of discontinuity of the function? | A. There is a jump discontinuity at x=-3 |
Is the function even, odd, or neither? | B. neither |
Which of the following functions are odd? Select all that apply. | A. f(x)=x/x^8+8x^4-7
B. f(x)=x^3+4x |
Describe the end behavior of the function. | C. f(x)->-inf as x->inf and f(x)->0 as x->-inf |
Which of the following functions are continuous? Select all that apply. | B. x-intercepts at -1.5 and 1.5, squiggle line thing in between?
C. x-intercepts at -3 and 3, looks like a W |
Which of the following functions exhibit the end behavior f(x)->inf as x->-inf and f(x)->-inf as x->inf? Select all that apply. | A. 2 curved lines coming off y-intercepts -1 and 1
D. big ol squiggly line with x-intercepts at -3ish, -1ish, and 1.5ish |
Which of the following functions is represented by the graph? | B. reciprocal; y=1/x |
The graph is a transformation of which of the following functions? | C. f(x)=x^3 |
Which of the following functions have graphs that contain no asymptotes? Select all that apply. | A. power; y=x^n
E. root; y= n sqrt x |
Which of the following function types exhibit the end behavior f(x)->inf as x->inf and f(x)->inf as x->-inf? Select all that apply. | A. power; y=x^n ; n is even and greater than zero
F. absolute value; y=|x| |
What transformations produce the graph of g(x)=-|3x| from the graph of the parent function f(x)=|x|? Select all that apply. | A. reflection over the x-axis
D. horizontal compression by a factor of 3 |
What transformations produce the graph of g(x)=5^-x+2 from the graph of the parent function f(x)=5^x? Select all that apply. | B. reflection over the y-axis
C. horizontal shift to the left 2 units |
When all four transformation types are applied to the same function, which one should be applied third? | B. reflection |
Which of the following is the graph of the function f(x)= -sqrt x+2 | A. curved line coming down from (-2,0) |
Which of the following is the graph of the function f(x)=log2(x+3) | A. curved line with an x-intercept at (-2,0) and a y-intercept at (0,1.5) |