Determine whether the correspondence is a function.
a ----------- 1
b ----------- 2
c ----------- 4
d ----------- 8
yes; none of the x-coordinates repeat
100
Rewrite without rational exponents and simplify, if possible.
x^(1/4)
∜x
200
Solve. r^2 = 4r - 4
r = 2
200
Find the indicated outputs for f(x) = 3x^2 - 2x.
f(0) =
f(-1) =
f(2) =
f(0) = 0
f(-1) = 5
f(2) = 8
200
The function given by I(x) = (3135)/x can be used to approximate the life span, in years, of an animal with a pulse rate of x beats per minute.
a) Find the approximate life span of a horse with a pulse rate of 55 beats per minute.
b) ... 95 beats per minute.
a) 57
b) 33
200
Rewrite with rational exponents. √3
3^(1/2)
200
Draw the graph for the interval notation given.
(-4, 3)
Shading starts at -4 with a parenthesis and ends at 3 with a parenthesis.
300
Solve. Then graph on the board.
0.7x < -42
x < -60
Graph runs from negative infinity to -60 with a parenthesis at -60.
300
Solve. (x - 11)^2 = 18
11 ± 3√2
300
On the board, graph the function.
g(x) = -5x + 4
The graph passes through (0, 4) and (1, -1).
300
Solve. (x + 7)^2 = 4
-5, -9
300
Solve. (x + 6)^2 = 9
-3, -9
400
Write the following in interval notation.
{x │ x ≥ −4}
[-4, ∞)
400
Solve for y. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
y^2 - 6y + 7 = 0
3 ± √2
400
Solve. 6x^2 + x = 15
-5/3, 3/2
400
Solve. 4p^2 - 16p = 0
0, 4
400
Solve. 5n^2 + 15n = 0
0, -3
500
Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
3x^2 = 2x + 12
(1 ± √37)/3
500
Solve. 3y^2 = 4y + 20
10/3, -2
500
Solve for y. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
y^2 - 14y + 36 = 0
7 ± √13
500
Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
5x^2 = 2x + 4