Algebra Answers

1. Consider the function y = x2 + 3x + 5. 2x−3

(a) Determine the domain of the function.

(b) Determine the range of the function.

(c) Determine the intercepts of the function.

(d) Find the asymptotes if they exist.

(e) Find the turning points (if they exist) and determine the type of turning points they are.

(f) Manually sketch the graph of the function.

f(x) = (x⁴+3x³-2x²-x+7) / x-5, when x = 5?

How many significant digits are there in the number 10,430?

Solve 7x+9y=3

5x+7y=1 using matrix method

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years?

f(x) = 12,000(0.12)^x, with a horizontal asymptote of y = 0

f(x) = 12,000(1.12)^x, with a vertical asymptote of x = 0

f(x) = 12,000(0.88)^x, with a horizontal asymptote of y = 0

f(x) = (12,000  0.88)^x, with a vertical asymptote of x = 0

Solve the following polynomial equation using formula method

3x²+9x+7=0

Solve the following polynomial equation using factorization method

X³+2x²‐9x‐18=0

8∑(j=1)2^j

pick a number . multiply the number by 12 and add 6to the product, divide the sum by 3, subtract twice the original numbers and subtract 2.

Evaluate the specified function given the value of x.

1. n (x) given x = -3
2. n(-2)
3. p(6)
4. q(13)
5. m(3)

Jack buys computers from his supplier for R50 000 each. If Jack wants to earn a 20% profit for each computer, what will be the price charged by Jack?