Least and greatest values of a quadratic function
Types of exercises: extreme value of a quadratic, least and greatest value on a closed interval.
Exercises are drawn at random from a large bank - every click gives a different set.
Narrow the topic
Solved: 0 of 10
Find the least value of the function f on the interval [−1, 2]
f(x) = x² + 6x + 10
Give the smallest value of the function
f(x) = 3x² − 42x + 158
Find the greatest value of the function f on the interval [7, 9]
f(x) = −2x² + 16x − 34
Give the largest value of the function
f(x) = −2x² − 32x − 137
Find the greatest value of the function f on the interval [−11, −3]
f(x) = x² + 10x + 29
Give the smallest value of the function
f(x) = x² + 10x + 31
Find the greatest value of the function f on the interval [−10, −2]
f(x) = 2x² + 20x + 48
Give the largest value of the function
f(x) = −3x² + 12x − 30
Find the least value of the function f on the interval [−4, −1]
f(x) = x² − 2x + 5
Give the smallest value of the function
f(x) = x² − 14x + 65
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.