HPC Unit 1 Test Version B
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Last updated over 1 year ago
22 questions

1
Identify the domain of f(x) in interval notation. Use inf for infinity.
Identify the domain of f(x) in interval notation. Use inf for infinity.
1
Find f + g.
Find f + g.
1
Which parent function has an inverse that is a function?
Which parent function has an inverse that is a function?
1
What is the parent function of f(x)?
What is the parent function of f(x)?
1
Identify the absolute minimum of f(x).
Identify the absolute minimum of f(x).

1
State the domain of the relation in interval notation. Use inf for infinity.
State the domain of the relation in interval notation. Use inf for infinity.
1
State the range of the relation in interval notation. Use inf for infinity.
State the range of the relation in interval notation. Use inf for infinity.
1
Is the relation a function? Explain your reasoning.
Is the relation a function? Explain your reasoning.
1
Identify the open interval(s) on which the relation is increasing. Use inf for infinity.
Identify the open interval(s) on which the relation is increasing. Use inf for infinity.
1
Identify the open interval(s) on which the relation is decreasing. Use inf for infinity.
Identify the open interval(s) on which the relation is decreasing. Use inf for infinity.
1
Identify the open interval(s) on which the relation is constant. Use inf for infinity.
Identify the open interval(s) on which the relation is constant. Use inf for infinity.
1
Is f(x) even, odd, or neither? Justify your reasoning alegbraically.
Is f(x) even, odd, or neither? Justify your reasoning alegbraically.
1
The function g(x) has a vertical asympote at x = 0.
The function g(x) has a vertical asympote at x = 0.
1
The function g(x) is not bounded below.
The function g(x) is not bounded below.
1
The function g(x) is always decreasing on its domain.
The function g(x) is always decreasing on its domain.

1
Graph f(x).
Graph f(x).
1
Find fg.
Find fg.
1
State the domain of fg in interval notation. Use inf for infinity.
State the domain of fg in interval notation. Use inf for infinity.
1
Find f(g(x).
Find f(g(x).
1
State the domain of f(g(x)) in interval notation. Use inf for infinity.
State the domain of f(g(x)) in interval notation. Use inf for infinity.
0
Graph f(x) and its inverse.
Graph f(x) and its inverse.
1
Is the inverse of f(x) a function? Explain your reasoning. Please do not use the word "it" in your response here.
Is the inverse of f(x) a function? Explain your reasoning. Please do not use the word "it" in your response here.