Functions and graphs
Types of exercises: reading from the graph of a function, value of a function at a point, argument for a given value, piecewise-defined function, is the assignment a function, a function given by a table, two functions: from a table and from a formula.
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Compute f(2) + f(−6)
f(x) = x² − 6 for x < 2 and f(x) = −2x + 3 for x ≥ 2
Read the value of the function from the graph
f(−3) = ?
Compute the value of the function
f(x) = 2x − 1, f(1) = ?
Find the value of the function g at the argument equal to f(3)
x: 0, 1, 2, 3, 4, 5, 6 f(x): 3, 6, 4, −2, −2, 9, 4 g(x) = −3x + 2
For which argument does the function take this value?
f(x) = 4x + 13, f(x) = 25
Is this assignment a function?
To every natural number we assign the remainder when it is divided by 7.
Give all the arguments at which the function f takes the value 2
x: −4, −3, −2, −1, 0 f(x): 2, −5, 2, −5, 7
Give all the zeros of the function f
f(x) = −x − 4 for x ≤ 3 and f(x) = x² − 1 for x > 3
Read from the graph whether the function is increasing or decreasing
function f
Compute the value of the function
f(x) = −6x² + 8x + 4, f(7) = ?
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