Advertisements
Advertisements
प्रश्न
Which of the following relations are functions? If it is a function determine its domain and range:
{(0, 0), (1, 1), (1, −1), (4, 2), (4, −2), (9, 3), (9, −3), (16, 4), (16, −4)}
उत्तर
{(0, 0), (1, 1), (1, –1), (4, 2), (4, –2), (9, 3), (9, –3), (16, 4), (16, – 4)}
∵ (1, 1), (1, –1) ∈ the relation
∴ Given relation is not a function.
As element 1 of the domain has not been assigned a unique element of co-domain.
APPEARS IN
संबंधित प्रश्न
f, g, h are three function defined from R to R as follow:
(iii) h(x) = x2 + 1
Find the range of function.
If f(x) = (x − a)2 (x − b)2, find f(a + b).
Let \[f\left( x \right) = \sqrt{x^2 + 1}\ ] . Then, which of the following is correct?
Check if the following relation is function:
If f(m) = m2 − 3m + 1, find f(− x)
Express the area A of circle as a function of its circumference C.
Check the injectivity and surjectivity of the following function.
f : R → R given by f(x) = x2
Express the following logarithmic equation in exponential form
`log_5 1/25` = – 2
Write the following expression as sum or difference of logarithm
In `(("a"^3 ("a" - 2)^2)/sqrt("b"^2 + 5))`
Solve for x.
2 log10 x = `1 + log_10 (x + 11/10)`
Select the correct answer from given alternatives
The domain of `1/([x] - x)` where [x] is greatest integer function is
Answer the following:
Identify the following relation is the function? If it is a function determine its domain and range.
{(0, 0), (1, 1), (1, –1), (4, 2), (4, –2), (9, 3), (9, –3), (16, 4), (16, –4)}
Answer the following:
If f(x) = ax2 + bx + 2 and f(1) = 3, f(4) = 42, find a and b
Answer the following:
If `log ((x - y)/5) = 1/2 logx + 1/2 log y`, show that x2 + y2 = 27xy
Answer the following:
Solve : `sqrt(log_2 x^4) + 4log_4 sqrt(2/x)` = 2
Answer the following:
If `log"a"/(x + y - 2z) = log"b"/(y + z - 2x) = log"c"/(z + x - 2y)`, show that abc = 1
Answer the following:
If `log_2"a"/4 = log_2"b"/6 = log_2"c"/(3"k")` and a3b2c = 1 find the value of k
Answer the following:
Find the range of the following function.
f(x) = `1/(1 + sqrt(x))`
If f(x) = 5x - 3, then f-1(x) is ______
Find the domain of the following function.
f(x) = `x/(x^2 + 3x + 2)`