Evaluating, domains, ranges and rates

Easy0 of 10 parts

No editor for these. Work them on paper and type the answer into the box. Marking is by agreement rather than by spelling, so 2x+3, 3+2x and 2(x+1)+1 all count as the same answer, and 1/2 and 0.5 are the same number.

Where an answer is a single number, give the number. Where it asks for a rule, give it in terms of $x$ .

For $f(x) = 3x - 5$ , find $f(4)$ .

For $f(x) = x^2 - 2x$ , find $f(-3)$ .

For $f(x) = 3x - 5$ , solve $f(x) = 16$ .

Which single input is missing from the domain of $g(x) = \dfrac{1}{x - 4}$ ?

What is the smallest output of $h(x) = x^2 + 3$ ?

Find the average rate of change of $f(x) = x^2$ from $x = 1$ to $x = 4$ .

Find the average rate of change of $f(x) = 3x - 5$ from $x = -2$ to $x = 6$ .

With $f(x) = 2x + 1$ and $g(x) = x^2$ , find $(f + g)(3)$ .

What is the y-intercept of $f(x) = (x - 2)^2 - 1$ ?

With $f(x) = 2x + 1$ and $g(x) = x^2$ , write $(f + g)(x)$ in terms of $x$ .

in terms of x