The Basic f(x)
The equation of a vertical line that passes through (2,5) is ...
What is x = 2?
f(x) = x - 4
g(x) = sqrt(x + 6)
Domain of (f + g)(x) is ?
What is [ -6, ∞)
f(x) = - sqrt(x) - 7
What is the equation for the graph of f(x) shifted up 7 units?
What is
y = -sqrtx
The value of tan x when cot x = 1/2
What is 2?
Rewrite 4x=7 in log form
What is
log_4(7) = x
If 4x^2 = 81
then x = ?
What is ± 9/2
g(x) = 1/(x + 1)
g(g(2)) = ?
What is 3/4
When c > 1 and
y = 1/c f(x)
The graph of f is
a) stretched or compressed ?
b) horizontally or vertically?
What is compressed and vertically
330º degrees is equivalent to how many radians
What is (11π)/6
Solve for x: log3(2x-1)=4
What is 41
The domain of
(x+1)/(x^2 + x - 6)
What is all real numbers except -3 and 2?
f(x) = 1/(x + 4)
g(x) = 1/x
f(g(x)) = ?
What is
x/(1 + 4x)
Write a quadratic equation with
a leading coefficient of 2
and zeros at x = ± 1
Leave your answer in factored form
What is y = 2(x + 1)(X - 1)
Write the equation for a cosine function with the following features
Amplitude of 5
Period of π/4
Phase shift of π units to the right
Vertical Shift up 6 units
What is
y = 5cos(8(x - π)) + 6
y=5x-3+1
Find the range and the
equation of its asymptote
What is
Range (1, ∞)
Horizontal asymptote y = 1
The domain of (x+1)1/2 is ?
Give answer in interval notation
[ -1, ∞)
h(x) = f(g(x)) = (sqrtx + 9)^4
If g(x) = sqrtx + 9
then f(x) = ?
What is
x^4
Find the vertex and the x-intercept(s) of the function
f(x) = 25 - x^2
Vertex (0, 25)
x- intercepts (±5, 0)
g(x) = 4sin(x/2) - 5
What is the range for g(x)?
What is [-9, -1]
Solve for x:
log7(x - 2)+log7(x + 3)=log714
x = 4 only
f(x) = 2x^2 + 5
If f(a) = 9 then a = ?
What is
± sqrt2
f(x) = 3/(2x - 1)
f^-1(x) =?
f^-1(x) = 3/(2x) + 1/2
or f^-1(x) = (3 + x)/(2x)
What is the range of
f(x) = -3(x + 1)^2 + 7
What is ( -∞, 7]
Solve the equation for 0 ≤ x ≤ π
- 5 + cos(x) = -11/2
What is
(2π)/3
Solve for x:
log2(x + 1) - log2(x - 4)=3
x =
33/7