The function f is defined by f(x) = (x - 7)(x + 3). The graph... | SAT Nonlinear functions Question, Answer Explained

Math · Advanced MathEasy

The function $f$ is defined by $f(x) = (x - 7)(x + 3)$ . The graph of $y = f(x)$ in the $xy$ -plane crosses the $y$ -axis at the point $(0, b)$ . What is the value of $b$ ?

Student-produced response: enter your answer.

Show answer and explanation

Answer: -21

The graph crosses the $y$ -axis where $x = 0$ . So $b = f(0) = (0 - 7)(0 + 3) = (-7)(3) = -21$ .

The values $7$ and $-3$ are the $x$ -intercepts, where $y = 0$ , not the $y$ -intercept.

Ask Owl about this question Next question

Got it wrong? On SAT Owl, Owl looks at the answer you chose and explains the exact mistake, then gives you similar questions until it sticks. Get your predicted SAT score free, or take a free full-length practice test.