Advertisements
Advertisements
प्रश्न
Draw the graph of the following function:
f(x) = 16 – x2
Advertisements
उत्तर
f(x) = 16 – x2
Let y = f(x) = 16 – x2
Choose suitable values for x and determine y. Thus we get the following table.
| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| y | 0 | 7 | 12 | 15 | 16 | 15 | 12 | 7 | 0 |
Plot the points (-4, 0), (-3, 7), (-2, 12), (-1, 15), (0, 16), (1, 15), (2, 12), (3, 7), (4, 0).
The graph is as shown in the figure.
APPEARS IN
संबंधित प्रश्न
Determine whether the following function is odd or even?
f(x) = `log (x^2 + sqrt(x^2 + 1))`
Determine whether the following function is odd or even?
f(x) = sin x + cos x
For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`
If f(x) = ex and g(x) = loge x then find (f + g)(1)
If f(x) = ex and g(x) = loge x then find (5g)(1).
If f(x) = `1/(2x + 1)`, x > `-1/2`, then show that f(f(x)) = `(2x + 1)/(2x + 3)`
Draw the graph of y = 9 - x2.
If f(x) = x2 – x + 1 then f(x + 1) is:
If f(x) = `{(x^2 - 4x if x >= 2),(x+2 if x < 2):}`, then f(5) is
If f(x) = x2 and g(x) = 2x + 1 then (fg)(0) is:
