Function Basics
What does f(3) mean?
What is the value of f when x=3?
If f(x)=x+4, find f(2).
What is 6?
Given f(x) = 2x +1, find f(4).
What is 9?
State the y-intercept of y = 3x + 5.
If f(x) = x + 3, find f-1(x).
What is f-1(x) = x - 3?
If f:x -> 2x-5, find f(6).
What is 7?
Input → x3 → -2 → Output. Find the output when the input is 5.
What is 13?
If f(x) = x2 - 3x, find f(-2).
What is 10?
Find the x-intercept of y = 2x - 8.
What is (4,0)?
If f(x) = 2x + 5, g(x) = x - 1, find fg(3).
What is fg(3) = 9?
Given f(x) = 3x + 2 and f(a) = 17, find a.
What is a = 5?
A function machine changes x into 4x-7. If the output is 21, find the input.
What is x = 7?
If f(x) = 2x2 - x +3, find f(-2).
What is 13?
Find the gradient of the line through (-2,1) and (4,13).
What is m=2?
Given f(x) = 3x - 7, find f-1(x).
What is f-1(x) = (x+7)/3?
If f(x) = x2 - 5x + 6, find the values of x for which f(x) = 0.
What is x = 2 or x =3?
A machine doubles a number, adds 6, then divides by 4. The output is 5. Find the input.
What is x = 7?
If f(x) = x2 + 2x - 3, find f(a+1) and simplify.
What is a2+a?
Find the equation of the line with gradient -3 passing through (2,5).
What is y = -3x +11?
If f(x) = 2x + 1, g(x) = x2, find gf(-2).
What is gf(-2) = 9?
For f(x)=x2-4x-5, determine the coordinates where its graph crosses both axes.
A machine performs x3, -4, then squares the result. If the output is 25, find all possible inputs.
What is x = 3 or x = -1/3?
If f(x) = 2x2 - 3x + 1 and f(k) = 6, find all possible values of k.
What is k = -1 or k = 5/2?
The line y = 2x + k passes through the intersection of y = -x + 9 and y = 4x - 6.
What is k = 0?
If f(x) = 2x -3, g(x) = x + 4, find f-1g-1(11).
What is 5?