Constant Function

Q. A function f(x) is defined as $f:[-7,-3]\to [1,4]$, then Range of f(x) can never include $\frac{17}{4}$. State True/False.

1. True
2. False

Q. Graph of a linear function is a straight line.

1. True
2. False

Q. Let A = {a, b, c, d} and B = {1, 2, 3} and
f = {(a, 3), (b, 3), (c, 3), (d, 3)}. Identify the type of function.

1. Identity function
2. Constant function
3. One-to-one function
4. Both a and b

Q. A function f : R $\to$ R; f(x) = 7 is a ____ function.

1. Inverse function
2. Identity Function
3. Constant Function
4. Modulus Function

Q. Find all values of $a$ for which the inequality $(a-3)x^2-2ax+3a-6<0$ is satisfied for all values of $x$.

Q. Can the following graph be a function. Why or why not?