Question 1

A bank offers a simple interest rate of 6% per year. If you invest $$100, the interest earned after t$ years is given by I = 100(0.06)t$. What is the value of I$ after 5 years?

Accepted Answer

$$I = 30$$

Question 2

Which of the following equations does NOT define $$y as a $$function of $$x$$?

Accepted Answer

$$y^2 = x$

Question 3

Given the function $$h(x) = \frac{1}{x-6}$$, what is the domain of $$h$$?

Accepted Answer

All real numbers except $$x = 6$$

Question 4

Which of the following is a constant function?

Accepted Answer

$$h(x) = 2$$

Question 5

Which of the following is NOT a polynomial function?

Accepted Answer

$$g(x) = \sqrt{x}$$

Question 6

Suppose $$f(x) = x^2$ and g(x) = x + 1$. What is (f + g)(x$$)$$?

Accepted Answer

$$x^2 + x + 1$

Question 7

Given $$f(x) = x^2$ and g(x) = x + 1$, what is the composite function (f$$ \circ g)(x)$$?

Accepted Answer

$$(f \circ g)(x) = (x + 1)^2$

Question 8

Which of the following is a rational function?

Accepted Answer

$$f(x) = \frac{2x + 3}{x - 1}$$

Question 9

The absolute-value function $$f(x) = |x|$$ has which domain?

Accepted Answer

All real numbers

Question 10

A case-defined function $$F(s) is $$given by $$F(s) = 1 if$$ $$-1 \u003c s \u003c 1$$, $$F(s) = 0 if$$ $$1 \u003c s \u003c 2$$, and $$F(s) = s - 3 if$$ $$2 \u003c s \u003c 8. $$What is $$F(7)$$?

Accepted Answer

$$F(7) = 4$$

Question 11

Which of the following is the degree of the polynomial $$f(x) = 3x^2$ - 8x + 9$$?

Accepted Answer

2

Question 12

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f$$ \cdot g)(x)$$?

Accepted Answer

$$x^2(x + 1$$)$$

Question 13

Which of the following is the correct definition of a function?

Accepted Answer

A rule that assigns to each element in the domain exactly one element in the codomain.

Question 14

Given $$f(x) = x^2$ and g(x) = x + 1$, what is (f - g)(x$$)$$?

Accepted Answer

$$x^2 - x - 1$

Question 15

If $$f(x) = x^2$ and g(x) = x + 1$, what is the domain of $$\frac{f(x)}{g(x)}$$?

Accepted Answer

All real numbers except $$x = -1$$

Question 16

Which of the following is the leading coefficient of the polynomial $$f(x) = 6x^3$ + 7$$?

Accepted Answer

6

Question 17

Which of the following is the zero function?

Accepted Answer

$$f(x) = 0$$

Question 18

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f$$ \div g)(x)$$?

Accepted Answer

$$\frac{x^2$}{x + 1}$$

Question 19

Which of the following is the correct composite function for $$f(x) = (2x - 1)^2$ expressed as f(x) = h(g(x$$))$$ where g(x) = 2x - 1$ and h(x$$) = $$x^2$$?

Accepted Answer

$$f(x) = h(g(x)) = (2x - 1)^2$

Question 20

Which of the following is the domain of the function $$f(x) = \sqrt{x - 2}$$?

Accepted Answer

All real numbers $$x \geq 2$$

Functions and Their Properties in College Algebra

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