Functions
values and arguments of functions, reading from a graph, properties of functions read from a graph, piecewise functions, linear functions, quadratic functions in general, vertex and factored form, finding the formula of a quadratic, least and greatest values of a quadratic, inverse proportionality, shifting graphs, exponential and logarithmic functions, also in applications
Exercises are drawn at random from a large bank - every click gives a different set.
Narrow the topic
Solved: 0 of 10
Give the coordinates of the vertex of the parabola
f(x) = x² + 10x + 30
Is the function f increasing or decreasing?
The function f is given by the formula f(x) = 10⁻ˣ.
Give the formula of the quadratic function f in general form
The quadratic function f has zeros −2 and 1, and its graph crosses the y-axis at the point (0, −6).
Give the number of days
The half-life of a radioactive isotope is 3 days. After how many days will 80 g of this isotope be reduced to 20 g?
Give the formula of the function f
The graph of a linear function f is parallel to the line y = −x − 1 and passes through the point (−3, −7).
Point out the line parallel to the given one
y = (1/4)x + 4
Compute the value of the function
f(x) = 9 · 6ˣ, f(−3) = ?
What number should replace the question mark?
The quantities x and y are inversely proportional. x: 2, 6, 12 y: 24, 8, ?
Which formula describes the quadratic function whose graph is shown in the figure?
y = f(x)
Find the coefficient a
The graph of the function f(x) = a/x, where x ≠ 0, passes through the point (3, 2).
This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.
PhiBoard is a free online whiteboard for maths
These exercises are part of it. On the board itself you can plot a function, write a formula in LaTeX, or solve a problem together with a teacher or a friend - live, in the browser. Our app is completely free.