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Polynomial Inequalities:
5) 9x - x^2 < 0
show number line test and answer in interval notation
Polynomial Inequalities:
4) x^2 + 8x > 0
show your number line test and state answer in interval notation
Polynomial Inequalities:
1) (x-5) (x+2) < 0
show your number line and state your answer in interval notation
Synthetic Division:
- (2x^4 + 7x^3 + x - 12) / (x+ 3)
(show step by step)
1. horizontal shift 6 units to the left, vertical shift down by 5 followed by a compression horizontally by a factor of 1/3. ______________
1. horizontal compression by a factor of 1/5 followed by a vertical shift down 7 units and reflection across y-axis. ______________
2. reflection across the x-axis followed by a vertical stretch by a factor of 3, a horizontal shift 6 units left, and a vertical shift 4 units down. _____________
Let g(x) be the transformation of f(x)= x2. Write the rule for g(x) using the change described.
1. compression vertically by a factor of 0.5 followed by a reflection
across the x-axis and a vertical shift 3 units down. _____________
2. horizontal stretch by a factor of 3, vertical compression by a factor of 1/3 followed by a horizontal shift right 5 units. ___________
In 10 minutes, a heart can beat 700 times. At this rate, in how many minutes will a heart beat 140 times? At what rate can a hear beat?
Given the equation in X, (m + 1)X^2+ 4(m – 1)X + 4 – m = 0, determine m in each of
the following cases:
a) The equation has a double root, what is the root? (3marks)
b) the equation is of the first degree. What is the root? (3marks)
c) 0 is a root of the equation. What is the other root? (3marks)
d) the equation has two roots of different signs (3marks)
e) the equation has two positive roots. (3marks)
Use substitution y = 2^X to solve for X the equation 2^(2X +1)– 2^(X +1) + 1 = 2X
