Determine if y = 4x2 – x has symmetry
to the x-axis, y-axis, or origin.
Determine if y = 5x5 – x has symmetry
to the x-axis, y-axis, or origin.
Determine if y = -4x2 + x has
symmetry to the x-axis, y-axis, or
origin.
Write the equation of a graph that has
intercepts x = 2 and is symmetric
with respect to the y-axis.
Given f(x) = 4 – x2 and g(x) = 5x + 2,
find f(g(x)).
Sketch the graph of f(x) = 3 sin x.
Sketch the graph of f(x) = 4 cos x.
t 4
lim t 2 16
t 4
2 x 4
lim x
x 0
x 4
2
lim 3 x 4 8
x
Use the graph of f(x) to evaluate each
limit.
Find the slope of the tangent line to
3 2
the graph of f(x) = x – 5x at the point
where x=2.
Find the derivative of the following
function using the limit process:
g(x) = 8x -8
Find the derivative of the following
function using the limit process:
y = 3x2 – 4
Find the slope of the graph f(x) = 2 +
2
x when x = 8.
Find an equation for the tangent line to
the graph of f(x) = x 1 at the point
where x = 3.
Sketch the graph of y = 5x + 1 and its
derivative y’.
2
Sketch the graph of f(x) = x and its
derivative, f’(x).
Give the intervals where the following
functions are differentiable.
h(x) = x + 5
Give the intervals where the following
functions are differentiable.
g(x) = |x – 3|
Determine if f(x) is differentiable
always, sometimes, or never.
2 x 2, x 0
2
f(x) = x 2, x 0
Determine if f(x) is differentiable
always, sometimes, or never.
3 x 1, x 2
2
f(x) = x 1, x 2