Parent Functions

Which would have a range of (5,∞)?

• y = -1∕x² + 5

• y = 5 + log(x)

• y = e^x-5

• a & b

• none

Tags

CCSS.HSF-BF.B.4D

The graph of the greatest integer function is transformed and one step has a y value of 2 and the next step has a y value of 6. The steps have a length of 3. What is a possible equation of this new function?

• a

• b

• c

• d

Tags

CCSS.HSF-IF.C.7B

Which of the following would change f(x) = ∛x to an even function?

• f(|x|)

• |f(x)|

• -f(-x)

• both a and b

• a, b and c

Tags

CCSS.HSF-IF.C.7A

Which of the following parent function(s) is (are) even?

• f(x) = x

• f(x) = |x|

• f(x) = x²

• f(x) = 2^x

• f(x) = 1⁄x²

Tags

CCSS.HSF.BF.B.3

Which of the parent function(s) has (have) end behavior as x --> ∞ , y --> ∞ ?

• f(x) = 3^x

• f(x) = 1∕x

• f(x) = √x

• f(x) = log₃x

• f(x) = ∛x

Tags

CCSS.HSF-IF.C.7E

If a point (-2 , 3 ) is on the graph of f(x). What point is on the graph of the given g(x)? g(x) = -3f(-2x + 4) + 5

• (-2 , -4)

• (0, -4)

• (3 , 4)

• (3, -4)

Which of the following parent function(s) has (have) a vertical asymptote?

• f(x) = 2^x

• f(x) 1∕x²

• f(x) = x³

• f(x) = lnx

• f(x) = √x

Tags

CCSS.HSF-IF.C.7E

Which parent function(s) has (have) the following characteristics?

f(-x) ≠ f(x) nor does f(-x) ≠ -f(x)

• f(x)=e^x

• f(x)=x

• f(x)=√x

• f(x)=log(x)

• f(x)=1∕x²

Tags

CCSS.HSF.BF.B.3

Which parent function(s) has (have) the following characteristics?

I have points in quadrants I and II but no zeros.

• f(x) = logx

• f(x) = 1∕x²

• f(x) = x²

• f(x) = ∛x

• f(x) = e^x

Tags

CCSS.HSF-IF.C.7B

Which statement is always true of an even non trig graph?

• A horizontal shift will change the symmetry.

• A reflection will change the symmetry.

• A vertical shift will change the symmetry.

• Both statements a and c are true.