PRECALC Graph Behavior Test (U3, L10)

Find the interval(s) over which the function is constant.

A. (-inf,-4)

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 correctly describes the point of discontinuity of the function?

A. There is a jump discontinuity at x=-3

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)

Is the function even, odd, or neither?

A. even

Use the graph to answer the question. Find f(3)

A. f(3)=6

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

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

Find the x- and y-intercepts of the function.

A. x-intercepts: (0,0),(3,0) y-intercepts: (0,0)

Find the asymptotes of the function. Select all that apply.

A. x=-1 C. x=3 E. y=0

Find the interval(s) over which the function is increasing.

B. (-inf,-1)U(-1,0)

Is the function even, odd, or neither?

B. neither

Which of the following functions is represented by the graph?

B. reciprocal; y=1/x

When all four transformation types are applied to the same function, which one should be applied third?

B. reflection

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

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

Find the interval(s) over which the function is decreasing.

C. (0,3)U(3,inf)

Describe the end behavior of the function.

C. f(x)->-inf as x->inf and f(x)->0 as x->-inf

The graph is a transformation of which of the following functions?

C. f(x)=x^3

Find the x- and y-intercepts of the function.

C. x-intercept: none y-intercept: (0,-4)