Pre-Cal Unit 1 Review

What is the End behavior on the left side

• x →-∞, y→∞

• x →∞, y→-∞

• x →-∞, y→-∞

• x →∞, y→∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Even, odd or neither? f(x) = x⁵ – 4x

• even

• odd

• neither

Which graph could represent the function f(x) = ab^x , where a < 0 and b > 1?

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Which graph represents a logarithmic function?

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A new elementary school starts with a population of 600 students. Each year, the population increases by 35% per year. The school’s population can be modeled by

the function, p(x) = 600(1.35) , where x represents time in years and p(x) represents population of students.

Given the graph of p(x), which statement best describes the end behavior of the function?

• As x → ∞, p(x) → ∞

• As x → ∞, p(x) → –∞

• As x → 0, p(x) → ∞

• As x → 600, p(x) → 0

Describe the symmetry of the function:

 $y=\frac{1}{x}$  

• even

• odd

• neither

• both

Which graph represents the step function f(x)=⌊x+2⌋ ?

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Which parent function has a range of [0, ∞)?

• $f\left(x\right)=\log_x$
  

• $f\left(x\right)=\sqrt{x}$

• $f\left(x\right)=x^3$

• $f\left(x\right)=2^x$

A graph of a rational function is shown. Describe the rational function.

• The function is increasing on the intervals (∞,- 3) U (- 3, 2) U (2, ∞) and has a horizontal asymptote at y=0.

• The function has vertical asymptotes at x = 0 and x = 2.

• The function is even because it reflects evenly across the y-axis and has a removable discontinuity at x=5.

• The function is the inverse of y=x.

Which statement best describes and justifies the symmetry of the graph shown?

• The graph is even because it is symmetric with respect to the x-axis.

• The graph is odd because it is symmetric with respect to the origin.

• The graph is both even and odd because it is symmetric to both the x- and y-axis.

• The graph is neither even nor odd because it has no symmetry with respect to either

  axis.