Problem 1 :
Joe invested $4500 at a fixed annual interest rate compounded annually. At the end of 12 years, the investment has doubled in value.
To the nearest hundredth of a percent, Joe’s investment pays interest at _____ %/year compounded annually.
Solution :
Problem 2 :
p(x) = 3x^{3} – 2x^{2} – 19x – 6
In order to factor the polynomial function above, a student determined that the function has a zero of x = 3. He then wrote the polynomial as a product of a linear factor and a quadratic factor, as shown below, where a, b, and c ∈ I.
p(x) = (x + a)(3x^{2} + bx + c)
Which of the following rows shows the correct values for a and b ?
Solution :
Problem 3 :
A particular polynomial function has the following characteristics.
• A factor of (x + 2) with multiplicity 3
• P(0) = –24
• A minimum value of –66
For the polynomial function described above, the minimum possible degree is i and the leading coefficient is ii. The statement above is completed by the information in row
Solution :
Problem 4 :
The graph of the polynomial function, shown below, has integral x- and y-intercepts. The equation of the function can be written in the form
p(x) = ax^{4} + bx^{3} + cx^{2} + dx + e,
where a, b, c, d, e ∈ I.
In the equation above, the values of a and e are, respectively, _____ and _____.
Solution :
Problem 5 :
The graph of y = f(x) is shown below.
The graph of y = √f(x) is to be drawn on the same coordinate plane. The graph of the function y = √f(x) will have a domain of i , and there are ii invariant points associated with this transformation.
The statement above is completed by the information in row
Solution :
Pre-Calculus Problems and Solutions (Part - 1)
Pre-Calculus Problems and Solutions (Part - 2)
Pre-Calculus Problems and Solutions (Part - 3)
Pre-Calculus Problems and Solutions (Part - 4)
Pre-Calculus Problems and Solutions (Part - 5)
Pre-Calculus Problems and Solutions (Part - 6)
Pre-Calculus Problems and Solutions (Part - 7)
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