MCV4U Chapter 1 Quiz
1) Given the graph of the
f (x) shown on the right
function
a. Determine the value(s) of x at which
f(x) has removable discontinuity
b. Determine The value(s) of x at which f(x)
has jump discontinuity
2) Use the given graph of f (x) to state the value of the limit, if it exists
f (x)
lim f (x)
a x⟶
) 6
b) lim lim f (x)
x⟶ 4- f (x) e)
x⟶ -∞
c) lim
x⟶ 4+ lim f (x)
f (x) f)
x⟶ ∞
g lim f (x)
d lim
x⟶
f (x)
)
x⟶ 3
) 4
(x +1)2,
x∈-1
3) I ∣
f (x) ={ x, - 1 ≤x ≤1
f
∣2x - 2
x, x>1
analysis the continuity of the function f(x). If it is not continuous, state why not and
identify the type of discontinuity.
1
1) Given the graph of the
f (x) shown on the right
function
a. Determine the value(s) of x at which
f(x) has removable discontinuity
b. Determine The value(s) of x at which f(x)
has jump discontinuity
2) Use the given graph of f (x) to state the value of the limit, if it exists
f (x)
lim f (x)
a x⟶
) 6
b) lim lim f (x)
x⟶ 4- f (x) e)
x⟶ -∞
c) lim
x⟶ 4+ lim f (x)
f (x) f)
x⟶ ∞
g lim f (x)
d lim
x⟶
f (x)
)
x⟶ 3
) 4
(x +1)2,
x∈-1
3) I ∣
f (x) ={ x, - 1 ≤x ≤1
f
∣2x - 2
x, x>1
analysis the continuity of the function f(x). If it is not continuous, state why not and
identify the type of discontinuity.
1