SAT Mathematics: Algebraic Functions

This is an MCQ-quiz for SAT Mathematics, which include questions on the concept of Algebraic Functions.

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What is the domain of the function f(x) = 2/(7x – 1) ?

x > (1/7) x ≠ (1/7) x < (–1/7) x < (1/7) x > (–1/7)

What is the domain of the set of ordered pairs {(2, –3), (4, 6), (–3, 5), (–2, 5)}?

{2, 4} {all real numbers} {–3, 5, 6} {all x-values such that x = 2n + 1 for all n} {–2, –3, 2, 4}

Given the relation below: {(1, 2), (3, 4), (5, 6), (7, 8)} Find the range of the inverse of the relation.

{1, 3, 5, 7} {5, 6, 7, 8} {2, 4, 6, 8} {1, 2, 3, 4} the inverse of the relation does not exist

Let f(x)=(x^3−3x^2+2x)^−1. The domain of f(x) includes which of the following?

I. 1

II. 2

III. –1

I and II

I only

II only

I, II, and III

III only

What is the domain of the given function?

f(x)=(x+6)/(x+3)^2

x ≠ 3

x ≠ –3

x ≠ 3, –3

All real numbers

x ≠ 0

Find the domain of the given function:

f(x)=(x+3)^2/((x−3)(x))

All real numbers x such that x ≠ 1, 0

All real numbers x such that x ≠ 0

All real numbers x such that x ≠ 3, 0

All real numbers

All real numbers x such that x ≠ 3

Find the domain of the function:

f(x)=(x^2−1)/(x−1)

All real numbers except for 1

All real numbers

All real numbers except for –2

What is the domain of the function f(x)=sqrt(x+9)?

All real numbers greater than -3

All real numbers

All real numbers greater than or equal to 9

All real numbers greater than or equal to -9

All real numbers greater than 9

What is the domain of 1/(x^3−x)?

All real numbers except -1, 0 and 1

All real numbers except -1 and 1

All real numbers except 1

All real numbers except 0

Which of the following values of x is not in the domain of the function y = (2x – 1)/(x^2 – 6x + 9)?

1/2

–1/2

Quiz/Test Summary

Title: SAT Mathematics: Algebraic Functions

Questions: 10

Contributed by:

james Mon, May 23, 2022 01:43 PM UTC

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