Q. If f(x) = 2x + 3, what is f(5)?
Solution
f(5) = 2(5) + 3 = 10 + 3 = 13.
Correct Answer: B — 13
Learn More →
Q. If f(x) = 2x^2 - 3x + 1, what is f(2)?
Solution
f(2) = 2(2^2) - 3(2) + 1 = 8 - 6 + 1 = 3.
Correct Answer: C — 5
Learn More →
Q. If f(x) = 2^x, what is f(3)?
Q. If f(x) = 3x - 4, find f(-2).
Solution
f(-2) = 3(-2) - 4 = -6 - 4 = -10.
Correct Answer: A — -10
Learn More →
Q. If f(x) = 3x - 4, what is f(-2)?
Solution
f(-2) = 3(-2) - 4 = -6 - 4 = -10.
Correct Answer: A — -10
Learn More →
Q. If f(x) = 3x - 4, what is the inverse function f^(-1)(x)?
-
A.
(x + 4)/3
-
B.
3x + 4
-
C.
3(x - 4)
-
D.
x/3 + 4
Solution
To find the inverse, set y = 3x - 4, solve for x: x = (y + 4)/3, thus f^(-1)(x) = (x + 4)/3.
Correct Answer: A — (x + 4)/3
Learn More →
Q. If f(x) = 3x - 5, what is f(f(1))?
Solution
First, find f(1) = 3(1) - 5 = -2. Then, f(-2) = 3(-2) - 5 = -6 - 5 = -11.
Correct Answer: D — 7
Learn More →
Q. If f(x) = sin(x), what is f(π/2)?
-
A.
0
-
B.
1
-
C.
-1
-
D.
undefined
Solution
f(π/2) = sin(π/2) = 1.
Correct Answer: B — 1
Learn More →
Q. If f(x) = x^2 + 2x + 1, what is the vertex of the parabola?
-
A.
(-1, 0)
-
B.
(0, 1)
-
C.
(-1, 1)
-
D.
(1, 0)
Solution
The vertex form is f(x) = (x + 1)^2, so the vertex is (-1, 0).
Correct Answer: C — (-1, 1)
Learn More →
Q. If f(x) = x^2 - 4, what are the x-intercepts?
-
A.
-2, 2
-
B.
0, 4
-
C.
2, 4
-
D.
None
Solution
To find x-intercepts, set f(x) = 0: x^2 - 4 = 0, which gives x = ±2.
Correct Answer: A — -2, 2
Learn More →
Q. If f(x) = x^2 - 4x + 3, what is the value of f(2)?
Solution
f(2) = 2^2 - 4*2 + 3 = 4 - 8 + 3 = -1.
Correct Answer: A — 0
Learn More →
Q. If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(2)?
Solution
(f ∘ g)(2) = f(g(2)) = f(2 + 1) = f(3) = 3^2 = 9.
Correct Answer: B — 9
Learn More →
Q. If f(x) = x^2, what is f(-3)?
Solution
f(-3) = (-3)^2 = 9.
Correct Answer: C — 9
Learn More →
Q. If f(x) = x^3 - 3x + 2, what is f(1)?
Solution
f(1) = 1^3 - 3(1) + 2 = 1 - 3 + 2 = 0.
Correct Answer: A — 0
Learn More →
Q. If f(x) = x^3 - 3x + 2, what is the value of f(1)?
Solution
f(1) = 1^3 - 3(1) + 2 = 1 - 3 + 2 = 0.
Correct Answer: A — 0
Learn More →
Q. If f(x) = |x - 2|, what is f(2)?
Solution
f(2) = |2 - 2| = |0| = 0.
Correct Answer: A — 0
Learn More →
Q. If f(x) = |x|, what is f(-3)?
-
A.
-3
-
B.
3
-
C.
0
-
D.
undefined
Solution
f(-3) = |-3| = 3.
Correct Answer: B — 3
Learn More →
Q. If g(x) = 3x + 2, what is g(-1)?
Solution
g(-1) = 3(-1) + 2 = -3 + 2 = -1.
Correct Answer: A — -1
Learn More →
Q. If h(x) = x^3 - 3x + 2, what is the critical point?
-
A.
x = 0
-
B.
x = 1
-
C.
x = -1
-
D.
x = 2
Solution
h'(x) = 3x^2 - 3 = 0 gives x^2 = 1, so x = 1 and x = -1 are critical points.
Correct Answer: B — x = 1
Learn More →
Q. If h(x) = x^3 - 3x + 2, what is the value of h(1)?
Solution
h(1) = 1^3 - 3(1) + 2 = 1 - 3 + 2 = 0.
Correct Answer: A — 0
Learn More →
Q. If h(x) = x^3 - 3x, what is the value of h(1)?
Solution
h(1) = 1^3 - 3*1 = 1 - 3 = -2.
Correct Answer: B — 0
Learn More →
Q. The function f(x) = x^2 - 4 is:
-
A.
Always increasing
-
B.
Always decreasing
-
C.
Neither increasing nor decreasing
-
D.
Both increasing and decreasing
Solution
The function has a minimum at x = 0, hence it is neither always increasing nor decreasing.
Correct Answer: C — Neither increasing nor decreasing
Learn More →
Q. The function f(x) = x^2 - 4x + 4 can be expressed in which form?
-
A.
(x - 2)^2
-
B.
(x + 2)^2
-
C.
(x - 4)^2
-
D.
(x + 4)^2
Solution
f(x) = (x - 2)^2 is the completed square form.
Correct Answer: A — (x - 2)^2
Learn More →
Q. The function f(x) = |x - 3| is continuous at which of the following points?
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
The function |x - 3| is continuous everywhere, including at x = 3.
Correct Answer: C — x = 3
Learn More →
Q. The range of the function f(x) = |x - 1| is:
-
A.
(-∞, 1)
-
B.
[0, ∞)
-
C.
(-1, 1)
-
D.
[1, ∞)
Solution
The absolute value function has a minimum value of 0, hence the range is [0, ∞).
Correct Answer: B — [0, ∞)
Learn More →
Q. What is the composition of functions f(g(x)) if f(x) = x + 1 and g(x) = 2x?
-
A.
2x + 1
-
B.
2x - 1
-
C.
x + 2
-
D.
x + 1
Solution
f(g(x)) = f(2x) = 2x + 1.
Correct Answer: A — 2x + 1
Learn More →
Q. What is the domain of the function f(x) = 1/(x - 2)?
-
A.
x ≠ 2
-
B.
x > 2
-
C.
x < 2
-
D.
All real numbers
Solution
The function is undefined at x = 2, so the domain is all real numbers except 2.
Correct Answer: A — x ≠ 2
Learn More →
Q. What is the domain of the function f(x) = 1/(x-3)?
-
A.
x ≠ 3
-
B.
x > 3
-
C.
x < 3
-
D.
All real numbers
Solution
The function is undefined at x = 3, so the domain is x ≠ 3.
Correct Answer: A — x ≠ 3
Learn More →
Q. What is the domain of the function f(x) = sqrt(x - 1)?
-
A.
x >= 1
-
B.
x > 1
-
C.
x <= 1
-
D.
x < 1
Solution
The expression under the square root must be non-negative, so x - 1 >= 0, hence x >= 1.
Correct Answer: A — x >= 1
Learn More →
Q. What is the inverse of the function f(x) = 2x + 3?
-
A.
(x - 3)/2
-
B.
(x + 3)/2
-
C.
2x - 3
-
D.
2(x - 3)
Solution
To find the inverse, set y = 2x + 3, solve for x: x = (y - 3)/2.
Correct Answer: A — (x - 3)/2
Learn More →
Showing 1 to 30 of 52 (2 Pages)
