Introduction to Functions and Graphs

Feedback: Not quite! When $x = 5$, $f(5) = 3(5) + 2 = 3 \times 5 + 2 = 17$

Feedback: Not quite! When $x = 2$, $f(2) = 4(2) - 3 = 4 \times 2 - 3 = 8 - 3 = 5$

Feedback: Not quite! The "3" inside the brackets means we are replacing "$x$" with the value 3. So, $f(3) = 2(3) - 4 = 2 \times 3 - 4 = 2$

Feedback: Not quite! Substitute 7 for $f(x)$, so we have the equation: $7 = 3x - 5$. First, add 5 to both sides to get $12 = 3x$. Then, divide both sides by 3 to find $x = 4$.

Feedback: Not quite! To find $f(-2)$, substitute $x = -2$ into the function. So, $f(-2) = 5(-2) + 8 = -10 + 8 = -2$.

Feedback: Not quite! From the graph, we can see that the function intersects the horizontal line $f(x) = -3$ at $x = 4$ and $x = -2$. Therefore, the correct answer is 4 and -2.